A 96-ounce bottle of laundry detergent can be used to wash 64 loads of laundry. What is the total number of loads of laundry that can be washed using a 60-ounce bottle of the same detergent?

2 Answers
Jun 26, 2018

color(blue)(40 " loads")40 loads

Explanation:

If:

96"oz"=64"loads"96oz=64loads

1"oz"=64/96=2/31oz=6496=23

Then:

60xx2/3=4060×23=40

60"oz"60oz bottle washes 40 " loads"40 loads

Jun 26, 2018

4040 loads of laundry can be washed.

Explanation:

Let xx be the number of laundry loads that the 60 ounce bottle can wash. We can describe the problem as a set of ratios:

9696 (ounces of detergent) /// 6464 (loads of laundry) = 60//x60/x

Let's set them equal to each other and solve for xx. Let's remember that when a/b=c/dab=cd, ad=bcad=bc:

96/64=60/x9664=60x
96x=60**6496x=6064
96x=384096x=3840
x=40x=40

Hope this helped!!