Question

[10.02]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? (Do not put a $ in your answer.)

Answer 1

right

Answer 2

find the value of y on your own

Answer 3

ummm ok

Answer 4

is it 6?

Answer 5

Translate: "All of y plus 2 divided by 10 equals all of y minus 2 divided by 5"
\[\frac{y+2}{10} = \frac{y-2}{5}\]
To solve equations containing fractions, multiply ever term on both sides of the equation by the LCD.

Answer 6

is it 6?

Answer 7

Is \[\frac{8}{10} = \frac{4}{5}?\]

Answer 8

ummm ik sorry

Answer 9

idk*

Answer 10

\[\frac{y+2}{10} = \frac{y-2}{5}\]
to check if 6 is a solution, replace the variable y with 6 to get
\[\frac{8}{10} = \frac{4}{5}\]
Note that
\[\frac{8}{10} = \frac{8\div 2}{10 \div 2} = \frac{4}{5}\]
So 6 is a good solution.