On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Answers

Answer 1

Answer:

A senior citizen ticket costs $11, and a child ticket costs $9.

Step-by-step explanation:

Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.

First day:

8s + c = 97

Second day:

6s + 4c = 102

We have a system of 2 equations in 2 unknowns.

8s + c = 97

6s + 4c = 102

We will use the addition method to solve the system.

Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.

     -32s - 4c = -388

(+)     6s + 4c = 102

----------------------------

      -26s       = -286

Divide both sides by -26.

s = 11

Now substitute s with 11 in the first original equation and solve for c.

8s + c = 97

8(11) + c = 97

88 + c = 97

Subtract 88 from both sides.

c = 9

Answer: A senior citizen ticket costs $11, and a child ticket costs $9.


Related Questions

I WILL GIVE BRAINLIEST

The first step that Juan performed to simplify the expression 3.6 + 0.4(3.8 – 5.9) – 0.5 before entering it into the calculator is shown.

4(3.8 – 5.9) – 0.5

Which statement is true?

Juan performed the first step correctly.
The first step should have been 3.6 + 0.4(–2.1) – 0.5.
The first step should have been 3.6 + 0.4(2.1) – 0.5.
The first step should have been 3.6 + 1.52 – 5.9 – 0.5.

Answers

Answer:

b I think ..................

Answer:

I am like 80% sure it is B so. :)

Step-by-step explanation:

Hi if u could help me that'd be great

Answers

Answer:

1 hour and 45 minutes

and 1 hour

Step-by-step explanation:

x= run

y= walk

5x+2.5y = distance

5x+2.5(1.5)=12.5

solve for x

5x=8.75

x=1.75

1.75 in hours is 1 hour and (60*.75)=45

1 hour and 45 minutes

" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"

We use the same equation

5x+2.5y=distance

we'll assume that they till walked 12.5 miles

which means that

5(2)+2.5y=12.5

solve for y

2.5=2.5y

y=1

1 hour

Answer:

Everybody, everybody

Get out on the floor

It can get a little crazy

When the kick hits the floor

Make a scene Make a scene

Nobody can ignore

Don't knock it, til you rock it

We can't take it no more!

Bring the lights up!

Bust the doors down!

Dust yourself off,

Shake it up!

Shake it up!

DJ set it off!

Take it up a notch

All together now!

Shake it up!

Shake it up!

Step-by-step explanation:

What is the relationship of the angles

Answers

Alternate Interior Angles

Answer:

alternate interior

Step-by-step explanation:

NEED ANSWERS WILL MAKE BRAINLIEST!

Answers

Answer:

1

-4

none

none

6

3

min

2

-5

-2

max

-1

0

-5

none

none

Step-by-step explanation:

f(4) is just asking what the y value is when x=4 which is 1

f(-3) = -4

This has no minimum or maximum because the range is all real numbers (the y value goes to infintiy and negative infinity)

f(3)=6

f(0)= 3

This has a minimum because the lowest y value possible is not infinity (it's 2)

f(1)= -5

f(4)= -2

max= -1

f(-1)= 0

f(6)= -5

none

none

Dana has to pay 30% tax on any income above £30,000 per year.
Dana is paid £45,000 annually.
Calculate the amount of money she receives after tax each month.

Answers

£45,000 x 0.3 = £13,500
£13,500 divided by 12 months = £1125
Dana’s tax £1,125
£45,000 divided by 12 months = £3750
Dana’s Income money each month is £3750
£3750 - £1125 = £2625
Dana’s makes £2625 after paying her tax

Which of the following lists the missing reasons in the respective order?

Alternate Interior Angle Theorem, ASA, CPCTC


Vertical Angle Theorem, ASA, CPCTC


Linear Pair Postulate, SSS, CPCTC


Reflexive Property, CPCTC, AAS

Answers

Answer:Vertical Angle Theorem, ASA, CPCTC

Step-by-step explanation: It's definitely a vertical Angle .

Function g can be thought of as a translation (shifted) version of f(x)=x^2

What is the equation for g (x).?? PLEASE HELP ASAP

Answers

Answer:

(x+5)²

Step-by-step explanation:

To solve this we just need to shift the graph 5 spots to the left

to do this we need to add 5 to the x

(x+5)²

The graph shows the relationship between the radius and volume for many cones whose height is 6 inches. Select ALL true statements about such cones.

Answers

Answer:

E. If the radius of the cone is 2 inches, the volume of the cone is 25 cubic inches.

B. The relationship between radius and volume is not linear.

Step-by-step explanation:

The true statement regarding the cones should be

If the radius of the cone is 2 inches, the volume of the cone is about 25 cubic inches.

The relationship between radius and volume is not linear.

What is the volume of cone?

The volume of the cone should be equivalent to one-third of the volume of the cylinder that contains a similar radius of the base and height. Here V means the volume, r means the radius and h means the height.

According to the graph, we can say that in the case when the radius should be 2 inches so the volume should be 25 cubic inches. And, the relation between the radius and the volume should not be linear.

learn more about cone here: https://brainly.com/question/10710386

PLS HELP I WILL GIVE BRIANLY!!

2/5 x 5/4 in fraction in its simplest form​

Answers

Answer:

The answer is 1/2. When you multiply the numerator and denominator, you get 10/20. If you divide the top and bottom by 5, you get 1/2.

The equivalent value of the fraction is A = 1/2 = 0.5

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p

Let the second fraction be q

Now , A = pq

when the value of p = 2/5

And , when the value of q = 5/4

On simplifying the equation , we get

A = ( 2/5 ) ( 5/4 )

So , the left hand side of the equation is equated to the right hand side by the value of ( 2/5 ) ( 5/4 )

A = ( 2/5 ) ( 5/4 )

A = ( 2 x 5 ) / ( 5 x 4 )

On simplifying , we get

A = 10/20

Divide by 10 on the numerator and denominator of the fraction , we get

A = 1/2

A = 0.5

Therefore , the value of A = 1/2 = 0.5

Hence , the fraction is A = 1/2 = 0.5

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ6

A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4

A total of 212 pens were sold.

Work out the number of green pens sold.

Answers

Answer:

The number of green pens sold are 96 green pens

Step-by-step explanation:

The given parameters for the packs of pens sold by the shop are;

The number of pens in each pack of black pens = 2 pens

The number of pens in each pack of red pens = 5 pens

The number of pens in each pack of green pens = 6 pens

The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4

The total number of pens sold = 212

Let 'x' represent the number of packs of pens sold

Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2

∴ 1/2 of the number of packs of pen sold = packs black pens = x/2

The fraction of the packs the pens sold that are red pens = 3/14

∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14

Similarly, we have;

The fraction of the packs the pens sold that are green pens = 4/14 = 2/7

∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7

Therefore, we have;

x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212

Where;

x/2 × 2 = The number of black pens sold

3·x/14 × 5 = The number of red pens sold

2·x/7 × 6 = The number of green pens sold

∴ 53·x/14 = 212

x = 212 × 14/53 = 56

∴ The number of packs of pens sold = x = 56 packs

The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96

The number of green pens sold = 96 pens.

Which expression shows the factored form of 16x + 12y - 4 PLZZZZZZZ HELP I WILL LIST YOU BRIANEST

answers:
4(4x +3y)

4(4x +3y – 1)

16(x +4y – 12)

A.14xy

Answers

Answer:

It is 4(4x + 3y - 1) I just did this quiz

Step-by-step explanation:

PLLZZZ HELPP I HAVE EXAMM
PLZZZZZZZZZZZ

Answers

The answer is the first one, 374549

write the expression in radical form. 2 4/5

Answers

Answer:

its C i believe i put it in a calculator and it gave me that answer

Is the function even,odd, or neither

Answers

Answer:

even  :D

Step-by-step explanation: :D

Write an equation for the line shown in the graph.

A. 10=4x
B. y=2x+10
C. y=10x-2
D. y= -x+10

Answers

Answer:

D

Step-by-step explanation:

The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the equation, the y-intercept is 10. Then the equation is given as,

y = mx + 10

From the graph, the line is passing through (2, 8). Then the slope is given as,

8 = m(2) + 10

8 = 2m + 10

- 2 = 2m

m = - 1

The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

learning task 4 answer the following show your solution using decimal and proportion methods
1. in survey the barangay had a certain number of families and 60% of them are identified and belong to the poor or marginalized sector if the total families is 150 how many families are belong to the poor sector?
2. lola remedios went to groceries to buy her daily needs if the total amount of her groceries is P 2,500.00 what would be the new amount if the store granted her 20% senior citizens discounts?
3. a passenger bus can accommodate 60 sits. During pandemic they reduce their accommodation to 50%. what is the actual sits can accommodate by the passengers?

Answers

Answer:

1. 90 families

2. P 500

3. 30 sits

Step-by-step explanation:

The computation is shown below:

1. The number of families belong to the poor sector is

= 150 ×60%

= 90 families

2. The new amount is

= P 2,500 × 0.20

= P 500

3. The actual sits accommodated by the passengers is

= 60 sits ×50%

= 30 sits

What is the value of s?
units

Answers

The second, symbol s, is the SI unit of time. It is defined by taking the fixed numerical value of the cesium frequency ΔνCs, the unperturbed ground-state hyperfine transition frequency of the cesium 133 atom, to be 9 192 631 770 when expressed in the unit Hz, which is equal to s-1.

question 7 is in the pic

Answers

Answer:

B.

Step-by-step explanation:

This is the information the histogram represents.

Hope it helps!

Answer:

B I think?

Step-by-step explanation:

Hope its right

A store offers 30% off all items. If x is the original purchase price, select all of the expressions which represent the final price with the discount.
a 0.7x
b x
c x + 0.3x
d x - 0.3x
e 12x

Answers

Answer:

D c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

not really an explanation

A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?

Answers

Answer:

30 times

Step-by-step explanation

Answer:

30

Step-by-step explanation:

3 1/3 x 3 =??
Not quite understanding

Answers

Answer:

10

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

3 1/3 * 3 = 10

WILL GIVE BRAINLIEST AND 20 POINTS!
One side of a square room measures 24 ft. How many square yards of carpet are necessary to carpet the room? Hint: 1 yd2 = 9 ft2.
yd2

Answers

Answer:

2.6

Step-by-step explanation:

24 ft. divided by 9 is 2.6666666666...

Area of the carpet= a^2
= 24^2
=576 ft^2
=576/9
=64 yd^2

What is the answer???

Answers

Reflection because if you reflected the same side it would be the exact shape hope this helps brainlist would be much appreciated:)

How should the decimal point in 4.003 be moved to determine the product of 100 × 4.003?
brainliest if right easy question


move it 1 place to the right

move it 2 places to the right

move it 3 places to the right

move it 4 places to the right

Answers

Answer:

Two places to the right.

Step-by-step explanation:

Since theres  two zeros in 100, move the decimal two places to the right, making it 400.3.

what is 22

+ 60 is it 87 , 650 , or 82, or 67

Answers

Answer:

82

Step-by-step explanation:

vote brainiest plzz

(⌐■_■) ( •_•)>⌐■-■
ᕙ(^▿^-ᕙ)

Answers

Answer:

(‿!‿) ԅ(≖‿≖ԅ)

Step-by-step explanation:

18 is 40% of ___
23% of 20 is ____
20 is ___ % of 82


pls help

Answers

Answer:

18 is 40% of 45

23% of 20 is 4.6

24.390243902439025

Step-by-step explanation:

(a) Reflect the point (7, -9) across the y-axis:
(b) Reflect the point (7, -9) across the x-axis:

Answers

Answer:

(-7,-9) and (7,9)

Step-by-step explanation:7,-9 so we do across the x so you need a graph for this now x goes left so we plot the coordinates in the third box 7,-9 is in the 4 box so after we plotted that you can see it reflects.Now y coordinate since the y line goes up we plot the coordinates on top of the 4 box where our original coordinates stay now it should be 7,9 the y becomes positive which is 9.

This is not a web answer i answered myself took me some time!

(a) after reflecting (7, -9) across the y-axis you get (-7, -9)
(b) after reflecting (7, -9) across the x-axis you get (7, 9)

Which expression is equivalent to -3(m + 5)?

A: m - 15.
B: -3m + 5.
C: -3m - 15.
D: - 15m.

Answers

the answer is -3m - 15 .

hope it helps you

huan's wage is £10.40 per hour l. he receives a 10% pay rise ​

Answers

Answer:

Step-by-step explanation:

10% of 10.40=1.04

10.40+1.04=11.44

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