1. ## Questions part 2

4) Able can harvest a lime crop in 4 days. Barney can do it in 5 days. Charlie would take 6 days. How long will it take them to complete the harvest if they work together?

5) Pam's favorite recipe for fruit punch requires 15% apple juice. How much pure apple juice does she need to add to 2 gallons of punch that already contains 8% apple juice to meet her standards?

6) Jane has 40 liters of 60% acid solution. How many liters of water must be added to form a solution that is 40% acid?

2. Originally Posted by gobbluth
4) Able can harvest a lime crop in 4 days. Barney can do it in 5 days. Charlie would take 6 days. How long will it take them to complete the harvest if they work together?
How much could Able harvest in one day? How much could Barney harvest? How much could Charlie harvest?

Then how much could they harvest together in one day?

Then how many days do they need?

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Going out of order:

Originally Posted by gobbluth
6) Jane has 40 liters of 60% acid solution. How many liters of water must be added to form a solution that is 40% acid?
Use the following set-up:

. . .liters solution:
. . . . .60%: 40
. . . . .water: w
. . . . .40%: 40 + w

. . .percent acid:
. . . . .60%: 0.6
. . . . .water: 0
. . . . .40%: ??

. . .liters acid:
. . . . .60%: 0.6(40) = 24
. . . . .water: 0(w) = ??
. . . . .40%: ??

Complete the table. Use the fact that the amount of acid in the two inputs must equal the amount of acid in the mixture. Sum the first two expressions, set equal to the third, and solve the resulting linear equation.

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Originally Posted by gobbluth
5) Pam's favorite recipe for fruit punch requires 15% apple juice. How much pure apple juice does she need to add to 2 gallons of punch that already contains 8% apple juice to meet her standards?
This one works just like the previous exercise, except that you'll be adding a 100% input (because "pure" means "entirely") rather than 0% (because "water" meant "none").

Have fun!