Question

A) josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:4, she needs to make 49 litres of punch for a party. how much of each ingredient does she need (in lires)

b) During the party josie decides tio make some more. she has 15 litres of fruit juce left and plenty of lemonade. how much extra punch can she make? (answer in letres)

c) to make the second batch of punch go further josie adds 4 more lires of lemonade. what is the ratio of fruit juice and lemonade in the second batch? (answer in ratios e.g 5:9)

Answer 1

1. Josie needs 21 litres of fruit juice need 28 litres of lemonade.

2. Josie can make an extra of 35 litres of punch.

3. 5:8

Explanation:

a) The ratio of the fruit juice to lemonade = 3:4

Total litres of punch to be made = 49

Amount of fruit juice needed =
`(3)/(7)` x 49

= 21 litres

Amount of lemonade needed =
`(4)/(7)` x 49

= 28 litres

Thus, she would need 21 litres of fruit juice need 28 litres of lemonade.

b) She has 15 litres of fruit juice left. Let the litres of punch to be made be represented by s.

`(3)/(7)` x s = 15

s = 35

Josie can make an extra of 35 litres of punch.

c) For the second batch, she needs;

15 litres of fruit juice needs 20 litres of lemonade.

But adding 4 more litres to the lemonade makes the total litres of lemonade to be 24.

Thus the ratio of the juice to lemonade = 15:24

= 5:8