Answer:
The required equations which represents the relationship between x and y is [tex]0.2(x+y)=0.4x+0.1y[/tex].
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: [tex]\frac{20}{100}(x+y)[/tex]
The cranberry drink contains 40 percent real juice and the apple drink contains 10 percent real juice.
This can be written as: [tex]\frac{40}{100}x+\frac{10}{100}y[/tex]
Now both the equation are equal.
[tex]\frac{20}{100}(x+y)=\frac{40}{100}x+\frac{10}{100}y[/tex]
[tex]0.2(x+y)=0.4x+0.1y[/tex]
Hence, the required equations which represents the relationship between x and y is [tex]0.2(x+y)=0.4x+0.1y[/tex].