Question

1. Dalia makes a cranberry apple punch that contains 20%, percent real juice by mixing x gallons of a cranberry drink with y gallons of an apple drink. The cranberry drink contains 40 percent real juice and the apple drink contains 10 percent real juice. Which of the following equations represents the relationship between x and y

Answer 1

Answer:

The required equations which represents the relationship between x and y is $0.2(x+y)=0.4x+0.1y$.

Step-by-step explanation:

Consider the provided information.

Dalia makes a cranberry apple punch that contains 20%, percent real juice by mixing x gallons of a cranberry drink with y gallons of an apple drink.

This can be written as: $\frac{20}{100}(x+y)$

The cranberry drink contains 40 percent real juice and the apple drink contains 10 percent real juice.

This can be written as: $\frac{40}{100}x+\frac{10}{100}y$

Now both the equation are equal.

$\frac{20}{100}(x+y)=\frac{40}{100}x+\frac{10}{100}y$

$0.2(x+y)=0.4x+0.1y$

Hence, the required equations which represents the relationship between x and y is $0.2(x+y)=0.4x+0.1y$.