Question
Forest is going to wash his car. The directions on the bottle of car wash concentrate say to mix 4 ounces of concentrate with 56 ounces of water. If Forest puts 12 ounces of concentrate in a bucket, how much water must he mix with the concentrate?
Ask by Reeves Nguyen. in the United States
Feb 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Forest needs to mix 168 ounces of water with 12 ounces of concentrate.
Solution
The directions say to mix 4 ounces of concentrate with 56 ounces of water. This means the ratio of concentrate to water is 4:56.
Forest is using 12 ounces of concentrate. To find the corresponding amount of water, we can set up a proportion:
(Concentrate : Water) = 4 : 56 = 12 : x
To find x, we solve:
x = (12 × 56) / 4
x = 672 / 4
x = 168
So, Forest must mix 168 ounces of water with 12 ounces of concentrate.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To find out how much water Forest needs to mix with 12 ounces of concentrate, we can set up a ratio based on the original instructions. The original mix is 4 ounces of concentrate to 56 ounces of water, which simplifies to a 1:14 ratio (since 56 divided by 4 equals 14). Now, if Forest uses 12 ounces of concentrate, we multiply the ratio: 12 ounces of concentrate x 14 = 168 ounces of water. So, Forest should mix 168 ounces of water with 12 ounces of concentrate to wash his car! Enjoy your car washing, Forest!
