Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?) She mixes 8 cups of water with 2 cups of vinegar. If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add? (**There are 16 cups in a gallon)

To make a gallons,

Ms. O'Brien needs

12 8/10 cups of water or 12.8 cups of water

3 1/5 cups of water or 3.2 cups of vinegar

Step-by-step explanation:

Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?)

She mixes 8 cups of water with 2 cups of vinegar.

Hence: The total number of cups for the cleaning mixture = 8 cups of water + 2 cups of vinegar = 10 cups

If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add?

Note that: There are 16 cups in a gallon

Hence:

For number of cups of water:

10 cups of cleaning mixture = 8 cups of water

16 cups of cleaning mixture = x

Cross Multiply

10x = 16 × 8

x = 16 × 8/10

x = 12 8/10 cups of water or 12.8 cups of water

For the number of cups of vinegar

10 cups of cleaning mixture = 2 cups of water

16 cups of cleaning mixture = x

Cross Multiply

10x = 16 × 2

x = 16 × 2/10

x = 3 1/5 cups of water or 3.2 cups of vinegar

Therefore, to make a gallon

Ms. O'Brien needs

12 8/10 cups of water or 12.8 cups of water

3 1/5 cups of water or 3.2 cups of vinegar

so, converting firstly the mixed fractions to improper fractions and then "adding".