Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. The punch has 2 liters of ginger ale. Part A: Write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. Define the variable used in the equation and solve the equation. Hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) Part B: How many liters of cranberry juice are present in the punch? Show your work.

Answers

Answer 1
Answer:

Answer:

There are 8 liters of cranberry juice in the punch

Step-by-step explanation:

Part A

We know that of the punch, 80% is cranberry juice.

Let's call Z the amount of cranberry juice and Y is the amount of ginger ale.

Let's call X the amount of Ponche

The amount of punch is equal to the amount of cranberry juice plus the amount of ginger ale

X = Z + Y (i)

Then we know that:

Z = 0.8X  (ii)

We also know that:

Y = 2 liters (iii)

Part B.

Now we can solve the equation:

Replace (ii) and (iii) in (i)

X = 0.8X + 2

X - 0.8X = 2

X(1-0.8) = 2

X = (2)/(1-0.8)

X = 10 liters.

Now we substitute X = 10 in equation (ii) and find the amount of Cranberry juice.

Z = 0.8(10)

Z = 8 liters.

There are 8 liters of cranberry juice in the punch


Related Questions

The value of y varies directly with x, and y=5 , when x=10. Find y when x=24
The population of the country of Oz was 600,000 in the year 2010. The population is expected to grow by a factorof 5% annually. The annual food supply of Oz is currently sufficient for a population of 700,000 people and isincreasing at a rate that will supply food for an additional 10,000 people per year.c. At what point does the population exceed the food supply? Justify your response.
which of the following equations demonstrate that the set of polynomials is not closed under the certain operations? A. Division: (x^2+2x) / (x+1) = x+ x/x+1 B. Multip.: (3x^4+x^3)(-2x^4+x^3)= -6x^6+ x^7+x^6 C. Addition: (3x^4+x^3)+(-2x^4+x^3)= x^4 + 2x^3 D. Multip.: (x^2+2x)(x+1)= x^3 +3x^2+2x
Factor x2 - 8x + 9Answer (x + 9)(x - 1) (x + 9)(x + 1) (x - 9)(x - 1) Prime
Leons older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is leon?

Square root of 9610 by division method​

Answers

Answer:98.03060747

Step-by-step explanation:

Square root 9610

The answer is 98.03060747

Hope it helps xD

HELP! 10 POINTS!! :((

Answers

Answer below.

1. 2

2. 17

3. 16

4. 4

5. 2

6. 8

7. 8

8. 10

The answer is 6 hope this helps

Which statement is always true about the quantities in the function y=x+7

Answers

It is always linear
it has a y intercept at 7 and an X intercept at -7
domain: (-infinity, infinity)
range: (-infinity, infinity)
integral: (1/2) x^2+7×
derivative: 1

Complete the following item based on the given information.The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?
k = ________

Answers

Answer:

The constant of proportionality for the group of boxes is 25.

Step-by-step explanation:

Given : The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches.

To find : What is the constant of proportionality for the group of boxes?

Solution :

The volume of a box(V) varies directly with its length(l).

Using k for the constant of proportionality.

We can express the relationship between V and l

If V varies directly with l.  

V = kl

According to question,

If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then  

325=13k\n\n\Rightarrow\ k=(325)/(13)\n\n\Rightarrow\ k=25

Therefore, The constant of proportionality for the group of boxes is 25.

k = 325/13
..............................................

Use elimination to solve each system of equations.please help me im dying


2x - y = -1

3x - 2y = 1

Answers

Answer:

x=-3

Y=-5

Step-by-step explanation:

2x-y=-1 ×2

3x-2y=1. ×1

4x-2y= -2

3x-2y=1

eliminate y by subtracting

On the graph of the equation 2x + 5y = −30, what is the value of the y-intercept?

Answers

The value of y intercept in the given equation of line is  -6 or (0,-6) .

Given,

Equation of line :

2x + 5y = −30

Now,

y intercept is when the line crosses the y axis or when x = 0

Substitute x = 0 in the equation of line to get the y intercept value .

So,

2(0)+5y=-30

0+5y=-30

5y=-30

divide 5

y=-6

Thus,

value of y intercept is -6 or (0,-6)

Know more about lines,

brainly.com/question/21511618

#SPJ2

y intercept is when the line crosses the y axis or when x=0
set x=0

2(0)+5y=-30
0+5y=-30
5y=-30
divide 5
y=-6

value of y intercept is -6 or (0,-6)