The owner of a grocery store wants to mix two kinds of condy together to make 15lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?

Answers

Answer 1

Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.

Step-by-step explanation:

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Answer 2

Answer:

9 pounds of chocolate candy

6 pounds of sugar candy

Step-by-step explanation:

x will represent pounds of chocolate candies used

y will represent pounds of sugar candies used

x + y = 15

x · $7.00 + $2.00 · y = $5.00 · 15

x = 15 - y

(15 - y) · $7.00 + $2.00 · y = $5.00 · 15

105 - $5.00 · y = 75

105 - 75 = $5.00 · y

$30 = $5.00 · y

$30 ÷ $5 = y

$30 ÷ $5 = 6

y = 6

x + y = 15

x + 6 = 15

x + 6 - 6 = 15 - 6

x = 9


Related Questions

I need you to do all plssss

Answers

Answer:

9 = probably D(maybe A)

I'm not sure what the answer is for #9 but I think it is most likely D. A is multiply 6 by 4 which would be substituting the value of w, for w. D is adding 2 to 40 which is combining like terms.

10 = C, 65

40+p

40+25

65

Using the order of operations, what should be done first to evaluate 6 + 10-(-5)(3) - 5?

Answers

Answer:

(-5)

Step-by-step explanation:

Using PEMDAS you should do (-5) because Parenthisis Always Go First, since their are two parenthisis go left to right and answer those first. after that do (3) and after that simply go left to right with 6+10-(-5)(3)-5. Hope this helps.

Linear equations- please help me
−5(5x+3)−5x+1=−44

Answers

the answer is x=1
Add the numbers
Combine like terms
Add
to both sides of the equation

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259 Students go on a field trip. There are 19 vehicles, some vans and some buses.

7 students can fit in a van, and 25 students can fit in a bus.
how many buses were there?
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Answers

7 buses, 12 vans

Explanation:
12 vans, 7 Buses
7 x 25 = 175
12 x 7 = 84

175 + 84 = 259

fifty-six thousandths in decimal form and standard form

Answers

Your answer is 0.056 for decimal form and your standard form is 56,000.00

0.056 is the decimal form and 56000.00 is the standard form.

What is the standard form of decimals?

'Decimal numbers in standard form are the simplest form, that can be easily read and written.'

According to the given problem,

The value of the digits to the right of the decimal point is less than 1

Hence we can conclude that decimal form is 0.056, Standard form is 56000.00.

Learn more about standard form of decimals here: https://brainly.com/question/18744986

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15PTS PLEASE HELP ASAP!
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look at the pic attached:

Answers

Answer:B if two lines are cut by a traversal, then corresponding angles are congruent.

Step-by-step explanation: the corresponding angles theorem proves this.

im sure the answer is B :)

Question : WHICH OF THE LINES IS PARALLEL ? HOW DO YOU KNOW ? ​

Answers

Answer:

B and R

I think that is the name of the lines. If not the the first two lines!!!!

HELP MEEEE I RLLY CANT KEEP DOING THIS

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

looking at the graph what does the y intercept tell you about the puppies in the litter? help me ​

Answers

The predicted change in mass of the puppies each day. So the first option.

Rebecca buys a shirt for $38.
She finds out the shirt is 25% off
and there is 8% sales tax. If
Rebecca has $40, how much change
will she receive?

Answers

Answer:

$8.46

Step-by-step explanation:

This is assuming that the sales tax is applied on the pre discounted item.

MDOSMSIENEIDIENDJDJCJX

I need help!! Worth 13 points!!

Answers

Answer:

601/14

Step-by-step explanation:

1/7(-1/2)=-1/14

43-1/14

602/14-1/14

601/14

help im confusion......

Answers

Answer:

Line J

Step-by-step explanation:

It is sloping downwards. It starts in  the top left and end at the bottom right, so it it the only negative one

Answer:

Line J

Step-by-step explanation:

Its the only one descending downwards, while the other two are going up in a positive direction.

Hope this helps (:


Need help ASAP plzzzzz

Answers

Answer:

y=2x+1

Step-by-step explanation:

Input X=2 into the function, so y=2(2)+1, which is 5. This matches the table.

Answer:

It's the first one: y= 2x +1

Step-by-step explanation:

If you multiply 2 by 2, you'll get 4. then you add 1. You'll get 5.

same with the others-

16) Avery selects two chips from a bag without looking at them. The bag has 5 green chips, 3 red chips, and 7 blue chips. What is the probability that he selects a red and then a blue chip (without replacing)? * 6 points 2/3 7/75 1/10 2/45

Answers

Answer:  [tex]\dfrac{1}{10}[/tex]

Step-by-step explanation:

Given: The bag has 5 green chips, 3 red chips, and 7 blue chips.

Total chips = 5+3+7= 15

Number of ways to select a red and then a blue chip = 3 x 7 = 21

Total number of ways to select 2 chips without replacement = 15 x 14 =210

Required probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]=\dfrac{21}{210}=\dfrac{1}{10}[/tex]

So, the probability that he selects a red and then a blue chip (without replacing) =  [tex]\dfrac{1}{10}[/tex]

Which describes the graph of y=(x+6)^2+1?

A. Vertex at (-6,-1)
B. Vertex at (6,-1)
C. Vertex at (-6,1)
D. Vertex at (6,1)

Answers

C. Vertex at (-6,1)

What is the equation of a line perpendicular to -x +2=y that intersects the line at (-1,5, 3,5)?

Answers

Answer:

B

Step-by-step explanation:

slope equals 1 and y-int equals 5

A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house. How much did she earn on the sale? Round your answer to the nearest cent. Pls help i need thins in less than 5 minuets pls

Answers

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What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?​

Answers

Answer:

22meter per second

Step-by-step explanation:

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Answer:

Could I have branliest please and heart answer is below <>

Step-by-step explanation:

22

374meters. 17

(/). divided by (/)

17seconds 17

Equals 22 meters per second

URGENT LAST QUESTION OF MY END OF QUARTER TEST! 30 POINTS
find JL in rectangle JKLM if JK=12 and JM=9.

Answers

Answer:

15

Step-by-step explanation:

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Answers

Answer:

The answer is C

Step-by-step explanation:

Discrete is where its a whole number and does not continue.

There can only be a whole number of people. there cannot be half a person.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

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Answers

Answer:

SSS

Step-by-step explanation:

Answer:

blue

sorry if wrong

Step-by-step explanation:

whats 17+-44 describe how you got that answer”

Answers

Answer is -27
If it’s a negative and a positive then the answer will be a negitive but if it’s two negatives then the answer will be positive

Answer:

17 plus 44 is 61.

Step-by-step explanation:

I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?

Solve the system using elimination.
3x + 2y = 13
X+ 5y = 13

Answers

Answer:

x=3 y=2

hope that helps

When applying a discount and then a tax, you will multiply to find the discount, subtract it, multiply to find the tax, and then add it. True or False?​

Answers

When applying a discount.......True

Circle K has a diameter of 10 centimeters and a major arc RS is intercepted by a central angle of 190°. Find the length of major arc RS . Round to the nearest tenth.

Answers

Answer:

16.6

Step-by-step explanation:

Kyle is buying a book online for $14.58. It is on sale for 10% off. What is the sale price with a 8.25% tax?

Answers

First, find the discount by finding 10% of $14.58. To do this, convert 0% into a decimal and multiply by $14.58.

14.58 x 0.1 = 1.458.

Since this a sale price, how much he is getting off, subtract from the total.

14.58 - 1.458 = 13.122.

We still have to find the sales tax. Solving is similar to finding the discount.

13.122 x 0.0825 = 1.082565.

Now, since it is a tax, add to the total.

13.122 + 1.082565 = 14.204565

Round to the nearest hundredth, and you have $14.20.

The sale price with after tax is $14.20.

Callie pays for a cat toy with a $10 bill and receives $2.55 in change. The equation 10 - c = 2.55 gives the cost in dollars for the cat toy. Determine whether c=6.45, c=7.45 or c=8.45 is a solution of the equation, and tell what the solution means. The

Answers

Answer:

c = 7.45

Step-by-step explanation:

its easy and im smart that's why i got it

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Answers

Answer:  B) 6 minutes

============================================================

Explanation:

Let's find the slope of the table. This will tell us the rate of change.

m = slope

m = (y2-y1)/(x2-x1)

m = (25250 - 26375)/(2 - 1) .... I used the first two rows

m = -1125/1

m = -1125

The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.

Since we're told the initial altitude was 27500 ft, this means b = 27500

This means y = mx+b turns into y = -1125x+27500

x is the number of minutes and y is the altitude at time x

As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.

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

Now plug in y = 16250 and solve for x

y = -1125x+27500

16250 = -1125x+27500

-1125x+27500 = 16250

-1125x = 16250-27500

-1125x = -11250

x = -11250/(-1125)

x = 10

It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.

Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.

Leon is using an area model to multiply 38×14. First, he makes a rectangle that is 38 units long and 14 units tall. Then, he breaks it into smaller parts using place value to make it easier to multiply. Use the drop-down menus to show the area of each part.

Answers

Answer:

300, 120, 80 and 32 respectively.

Step-by-step explanation:

To break it down for easy multiplication, write

38 as 30 + 8

14 as 10 + 4

Now let's multiply

(30 + 8)(10 + 4) = 300 + 120 + 80 + 32

So the areas of each part would be

300, 120, 80 and 32 respectively.

A private college allows local residents to use athletic facilities such as the gym and the pool for a fee. The college charges a one time registration fee of $25 and also charges a fee of $18 per semester of use. complete the table to show the total cost of using the athletic facilities after each semester listed.

Answers

Step-by-step explanation:

1) 43

2) 61

3) 79

4)97

5)115

Answer:

popoverlover20 is correct I got it right

Step-by-step explanation:

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