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Complete Question
Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.
a) How much of each juice is needed to make 25 liters of this punch?
b) How much punch can she make if she has only 6 cups of plum juice?
c) How many cups of pear juice should she use to make the quantity of punch from part (b)?
Answer:
a)For pear =
12.5 liters
For Pineapple
= 5 liters
For plum
= 7.5 liters
b) 20 cups of punch
c) 10 cups of pear juice
Explanation:
Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.
The total proportion is :
5 + 2 + 3 = 10
a) How much of each juice is needed to make 25 liters of this punch?
For pear =
5/10 × 25 = 12.5 liters
For Pineapple
= 2/10 × 25 = 5 liters
For plum
= 3/10 × 25 = 7.5 liters
b) How much punch can she make if she has only 6 cups of plum juice?
The ratio of plum juice is 3
6 cups / 3 = 2 cups per portion
Since 2 equals 2/3 of 3,
The quantity of pineapple juice = 2/3 of the plum juice
2/3 x 6 cups = 4 cups
Since 5 equals 5/3 of 3, the amount of pear juice amount 5/3 of the plum juuce
5/3 x 6 cups = 10 cups
So, the number of cups are
Pear juice = 10 cups
Pineapple juice = 4 cups
Plum juice 6 cups
Total=( 10 + 4 + 6) = 20 cups of punch
c) How many cups of pear juice should she use to make the quantity of punch from part (b)?
10 cups of pear juice can be used to make the quantity of punch in part b