Question

You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How much cleaning solution will you need to use?

A) 1 ½ quarts B)1 pint C) 2 quarts D) 1 quart

Answer 1

One gallon equals to 4 quarts.

The instructions tell you to add 1 part of cleaner and 3 parts of water, in total 4 parts. It makes it easy as you can take that one part = one quart.

You will use 3 quarts of water and 1 quart of cleaner. The answer is D.

Answer 2

let
x--------> gallons of cleaner
y-------> gallons of water

we know that

`x+y=1` equation 1
and

`(x)/(y) = (1)/(3) \\ y=3x` equation 2
substitute equation 2 in equation 1

`x+3x=1 \\ 4x=1 \\ x=1/4 gal`

find the value of y

`y=3x \\ y=3* (1)/(4) \\ y= (3)/(4) gal`

we know that

`(1)/(4) gal` is equal to
`1 quart`

therefore
the answer is the option
D) 1 quart