A 10-gallon container of water costs (y + 2) dollars while a 5-gallon container of water costs (y - 2) dollars. If the price per gallon of water is the same for both containers, the equation below can be used to solve for y.

All of y plus 2 divided by 10 equals all of y minus 2 divided by 5

What is the value, in dollars, of y?

Question

A 10-gallon container of water costs (y + 2) dollars while a 5-gallon container of water costs (y - 2) dollars. If the price per gallon of water is the same for both containers, the equation below can be used to solve for y.

All of y plus 2 divided by 10 equals all of y minus 2 divided by 5


What is the value, in dollars, of y?

hero · Answer

$$\frac{y+2}{10} = \frac{y-2}{5}$$

5(y+2) = 10(y-2)
5y + 10 = 10y - 20
20 + 10 = 10 y - 5y
30 = 5y
30/5 = y
6 = y

The value of y in dollars is $6.