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

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

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. **

Let

x-> gallons of cleaner

y-> gallons of water

we know that

\( x+y=1 \) equation 1

and

\( \frac{x}{y} = \frac{1}{3} \\ y=3x \) equation 2

substitute equation 2 in equation 1

\( x+3x=1 \\ 4x=1 \\ x=1/4 gal \)

find the value of y

\( y=3x \\ y=3* \frac{1}{4} \\ y= \frac{3}{4} gal \)

we know that

\( \frac{1}{4} gal \) is equal to \( 1 quart \)

therefore **the answer is the option****D) 1 quart**

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