The three most popular ice cream flavors are chocolate, strawberry, and vanilla, comprising 97% of the flavors sold at an ice cream shop. If vanilla sells 10% more than twice strawberry, and chocolate sells 7% more than vanilla, how much of the total ice cream consumption are the vanilla, chocolate, and strawberry flavors?

Answers

Answer 1

Using a system of equations, it is found that:

38% consumes vanilla.14% consumes strawberry.45% consumes chocolate.

In our system, we have that:

x is the percentage of vanilla.y is the percentage of strawberry.z is the percentage of chocolate.

Those 3 compromise 97% of the flavors, hence:

[tex]x + y + z = 97[/tex]

Vanilla sells 10% more than twice strawberry, hence:

[tex]x = 10 + 2y[/tex]

Chocolate sells 7% more than vanilla, hence:

[tex]z = x + 7[/tex]

Since [tex]x = 10 + 2y[/tex]

[tex]z = 10 + 2y + 7[/tex]

[tex]z = 2y + 17[/tex]

Replacing in the first equation, we can solve for y:

[tex]x + y + z = 97[/tex]

[tex]10 + 2y + y + 2y + 17 = 97[/tex]

[tex]5y = 70[/tex]

[tex]y = \frac{70}{5}[/tex]

[tex]y = 14[/tex]

With y, we can solve for x and for z.

[tex]x = 10 + 2y = 10 + 2(14) = 38[/tex]

[tex]y = 2y + 17 = 2(14) + 17 = 45[/tex]

Hence:

38% consumes vanilla.14% consumes strawberry.45% consumes chocolate.

A similar problem is given at https://brainly.com/question/24778333


Related Questions

Pleaseeeeee solveee 25 points pleaze help geometry

Answers

Answer:

(-3/2, 6)

Step-by-step explanation:

(-3,8) (6,-4)

As we move along the line segment with endpoints (-3,8) and (6,-4) from  (-3,8) to (6,-4) x increases by 9 units (from -3 to 6) and y decreases by -12 units (from 8 to -4).

for ratio of 1:5

Since 1+5=6, the point we are looking for is 1/6 of the way from (-3,8) to (6,-4).  

So, the desired point is

(-3 + (1/6)(9), 8 - (1/6)(12) )

= (-3 + 3/2 , 8 - 2)

= ( (-6 + 3)/2, 6)

= (-3/2, 6)

for map reference see the image below

(1,-1) (5,-7 find the slope

Answers

Answer:

m=-2

Step-by-step explanation:

m=-8/5-(1)

m=-8/4

divided -8 by 4

m=-2

Answer:

m=-2

Step-by-step explanation:

the length of a rectangle is 5 less than 2 times its width, if the perimeter is 86ft, what is the length and width of the rectangle. Write and solve the equation

Answers

Answer:

Width: 16

Length: 27

Step-by-step explanation:

Let x be the width of the rectangle.

The length would then be 2x - 5

The perimeter is:

2x - 5 + x + 2x - 5 + x =

6x - 10 = 86

Solve.

6x = 96

x = 16

Thus,

Width: 16

Length: 27

352 base 8 to base 10​

Answers

352₈ = 3•8² + 5•8¹ + 2•8⁰

352₈ = 3•64 + 5•8 + 2•1

352₈ = 192 + 40 + 2

352₈ = 234

what is x(14+2)5 please help me​

Answers

Answer: 80x

Step-by-step explanation:

1. add the numbers 14+2=16 (=x(16)(5)_)

2. Multiply the numbers 16(5) = 80 (=X(80) = 80X)

write a subtraction sentence where the difference is negative use a positive and negative integer ​

Answers

Answer:

Examples:

-5 - 2

-4 - 1

-8 - 6

Basically, the negative integer should be first with the higher greater absolute value.

Step-by-step explanation:

Answer:

-7-(-6)

Step-by-step explanation:

=-1.

it contains a positive and negative integer

__% of 4 is 7
hellpp

Answers

Answer:

175 %

Step-by-step explanation:

x % of 4 = 7

[tex]\dfrac{x}{100}*4 = 7\\\\\\x = 7*\dfrac{100}{4}\\\\x = 7*25\\\\x = 175[/tex]

pls Round 2.382 to the nearest hundred

Answers

If 2.383 is rounded to the nearest hundred the answer is 2.38

[tex]\huge\bold\blue{2.38}[/tex]

Explanation:

2 - ones

. - decimal point

3 - tenths

8 - hundredths

2 - thousandths

8 is the digit in the hundredths place

look at the number on its right (which is 2)

if: < 5, just copy the number until the nearest hundredths.

if: > or = 5, add 1 to the hundredths then copy the number until the nearest hundredths

5 times the difference of a number and 2

Answers

Answer: 3.3

Step-by-step explanation: 5 divided by 3 x 2 = 3.3

Find the base of
4+6 = 20​

Answers

Answer:

So in base 5, 4+6 = 20

Step-by-step explanation:

Select the points that are solutions to the system of inequalities. Select all
that apply.
10 -
10
I A. (0, -10)
B. (2,4)
C. (-2,0)
D. (10,-1)

Answers

Answer: B and D

Step-by-step explanation: These points are in the shaded region on the graph. Every point in the shaded region is a solution to the set of inequalities.

The solution to the given inequalities are the points that lie in the shaded region and they are  (2, 4), (10, - 1).

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.

A system with two or more two equations has a solution only when they have a common intersection point.

Here in this case the points that are solutions to the system of inequalities

that lie in the shaded region Or all the points that lie in the shaded region is the solution to these inequalities.

So, (2, 4), and (10, - 1) are the solutions.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ2

pls help me I need this last question ⁉️
[tex]46 + \frac{3}{7} \times = [/tex]

Answers

Answer:

[tex] \sf 46 \frac{3}{7} [/tex]

Step-by-step explanation:

[tex] \sf = 46 + \frac{3}{7} [/tex]

[tex] \sf = 46 \frac{3}{7} [/tex]

or

[tex] \sf = 46 + \frac{3}{7} [/tex]

[tex] \sf = \frac{46}{1} + \frac{3}{7} [/tex]

[tex] \sf = \frac{322}{7} + \frac{3}{7} [/tex]

[tex] \sf = \frac{325}{7} [/tex]

[tex] \sf = 46 \frac{3}{7} [/tex]

Answer:

325/7

Step-by-step explanation:

refer to the attachment

hope it helps

Hiya! I need help i bet it says im in high school but im in middle school can you tell me what percent of 25 is 20 in middle school

Answers

Answer:

25 percent of 20 is 5 percent

Answer:

Step-by-step explanation:

percentage:

80%

messed up saying it was 125% so say thanks to the person who commented below mine-

Put the following equation of a line into slope-intercept form, simplifying all fractions.
2
x
+
6
y
=
2x+6y=


12
12

Answers

Answer:

[tex] \sqrt[6]{ 729} [/tex]

On a sunny day Josée's shadow
is 2.9 m long, while the shadow
of a tower is 11.3 m long. If
Josée is 1.8 m tall, calculate
the height of the tower.

Answers

Answer:

sorry I don't know the answer to this question

Please help!!!!!!!!!!!!!!!

Answers

Answer:

Y+5=2/3(x-4)

Step-by-step explanation:

since the slope is 2/3, it should be in the right side of the equal sign, its passing thru (4,-5) thus it being Y+5=2/3(x-4)

If one team had 7 players, how many players did the other team have

Answers

7 I think don’t quote me on it

Answer:7

Step-by-step explanation:because each team has to be equal

❗❗ANSWER+EXPLANATION=100POINTS+BRAINLIEST♡❗❗

(Question in the pic)

thanks <3​

Answers

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

A box of donuts contains 12 donuts how many donuts would be in three boxes

Answers

Answer:

36 donuts

12*3=36

Step-by-step explanation:

Hope this helps! Plz give brainliest!

Answer:36 donuts for 3 boxes

Step-by-step explanation:

1 box-12 donuts

1 box-12 donuts

1 box-12 donuts

12+12+12= 36

Find the equation of the line that is perpendicular to 3y + x = -2 and passes through
the point (-2,-5).

Answers

Answer:

y=3x+1 or 3x-y=-1

Step-by-step explanation:

Hello,

We are given the line 3y+x=-2, and we want to write an equation of the line that is perpendicular to 3y+x=-2, and contains the point (-2, -5)

First, we'll need to find the slope of 3y+x=-2, as perpendicular lines have slopes that multiply to -1

In order to find the slope of 3y+x=-2, let's convert the equation of the line from standard form to slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

y is isolated by itself in slope-intercept form, so let's subtract x from both sides of the equation

3y=-x-2

Now divide both sides by 3

y=[tex]-\frac{1}{3}x - \frac{2}{3}[/tex]

The slope of the line is -1/3

Now to find the slope of the line perpendicular to it, use this formula:

-1/3m=-1

Multiply both sides by -3

m=3

So the slope of the line perpendicular to it is 3

We can write the equation of this new line in slope-intercept form; substitute 3 as m in y=mx+b:

y=3x+b

Now we need to find b

As the equation passes through the point (-2, -5), we can use its values to help solve for b

Substitute -2 as x and -5 as y:

-5=3(-2)+b

Multiply

-5=-6+b

Add 6 to both sides

1=b

Substitute 1 as b:

y=3x+1

The equation can be left as this, or we can write it in standard form, if you wish

In standard form, x and y are on the same side; so we'll subtract 3x from both sides in order to have both variables on the same side

-3x+y=1

However, a (the coefficient in front of x) cannot be negative; so we'll multiply both sides by -1 to change the sign of the variable.

3x-y=-1

Hope this helps!

find an equation of the line parallel to y=2x+3 and that passes through the point (5,3)

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

To find c substitute (5, 3 ) into the partial equation

3 = 10 + c ⇒ c = 3 - 10 = - 7

y = 2x - 7 ← equation of parallel line

Answer:

y = 2x - 7

Step-by-step explanation:

First line: y = 2x + 3 , m = 2

Second line: m = 2 and pass ( 5 , 3 )

y - 3 = 2( x - 5 ) ⇔ y = 2x - 7

My little sister need help with this problem. Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks. What two other factor pairs could Annabelle use to help her rearrange the blocks again?
Explain your answer using complete sentences.

Answers

Annabelle could arrange her blocks in one row of 42 building blocks as 1 times 42 = 42.

She could also arrange her blocks in 2 rows of 21 blocks because 2 times 21 is also 42.

Answer:

21 rows and two Blocks

1 row 42 Blocks

Step-by-step explanation:

Number of blocks with Annabelle = 42

First arrangement = 3 rows 14 blocks

Second arrangement = 6 rows 7 blocks

Solution

The other two factor pairs that could be used to rearrange the blocks again?

Solution:

Here, we will have to find the factor pairs of total number of blocks present with Annabelle.

i.e. 42

First of all, let us have a look at the factor pairs of 42.

Therefore, the other two factor pairs can be 2, 21 and 1, 42.

The other two possible factor pairs are:

21 rows 2 blocks

1 row 42 blocks

Graph the equation shown below by transforming the given graph of the parent
function.
y = 4 x 2^-x

Answers

Answer:

|x| Start Over 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4…

Step-by-step explanation:

PLEASE HELP! I WILL GIVE BRAINLIEST <3

A regulation football field is 300 feet by 160
feet, with 30 foot end zones at either end of
the longer side. What is the distance from the
back corner of one end zone to the opposite
front corner of the other, as denoted by the
dashed line in the picture to the left?

Answers

Answer:

10 <3

Step-by-step explanation:

Answer:

340ft

Step-by-step explanation:

So this is just the Pythagoren Theorem. a^2+b^2=c^2

340ft

factorize 4c−28 help

Answers

C = 7
All you do is put a zero at the end after the equal sign then make -28 positive 28 on the right side and replace it from zero then divide 4 on both sides and the answer is 7

640divided by 90 and 150 divided by 50

Answers

Answer:

1: 7.1

2: 3

Step-by-step explanation:

Report if wrong

-Atlas-

Answer:

640 ÷ 90 = 7. ¯ 1

150 ÷ 50 = 3

HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

Not possible

Step-by-step explanation:

R : 2 row x 3 column

P: 2 row x 2 column

column of first matrix (R) is not equal to the row of 2nd matrix

R*P : not possible

Help me please people it’s the last question

Answers

Answer:

1 m³

Step-by-step explanation:

first find volume of smaller cubes

V = lwh

S = 1/3*1/3*1/3

S = 1/27

find volume of large cube. there are 27 smaller cubes.

V = 27S

V = 27(1/27)

V = 1

S: volume of small cube

V: volume of large cube

I did it on the page so that you understand

Keith buys 45 tickets for rides at the amusement park. Each ride requires 6 tickets to ride. If Keith already has gone on x rides, which expression is equivalent to
the number of tickets Keith has left?
A:45-6x
B:6(x-45)
C:6(45-x)
D:x(45+6)

Answers

A is the correct answer if I did it right

3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answers

Answer:

£86.50

Step-by-step explanation:

To find how much 10 t-shirts cost we have to find how much they cost individually.

3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.

8.65 x 10 T-Shirts = £86.50

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