The given ratio of powder to water is 3:2 based on weight for Kool-aide. It is also given that 120g of flavored powder is needed for a certain amount of Kool-aide.
Let us assume that the amount of water (by weight) required to maintain the given ratio of 3:2 be represented by the letter
. Thus, from the given information we can conclude that:
![\frac{Powder Weight}{Water Weight}=\frac{3}{2}=\frac{120}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7BPowder%20Weight%7D%7BWater%20Weight%7D%3D%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B120%7D%7Bx%7D%20%20%20%20)
![\therefore \frac{3}{2}=\frac{120}{x}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B120%7D%7Bx%7D%20%20%20)
Cross-multiplying we get:
![3x=240](https://tex.z-dn.net/?f=%203x%3D240%20)
grams.
Thus, the amount of water in grams in that Kool-aide is 80 grams.
Answer:
2 hours
Step-by-step explanation:
given that the calorie burn rates are:
swimming: 400 cal / hour
rollerblading: 600 cal / hour
If he swims for 3 hours, he will burn:
400 cal / hour x 3 hours
= 1200 cal
Since his goal is 2400 calories, the number of calories that he has left to burn after swimming is:
2400 - 1200
= 1200 calories.
Number of hours of rollerblading to burn 1200 calories
= 1200 calories ÷ 600 calories per hour
= 2 hours