The prices of two fruits sold at a supermarket is shown.

Fruit	Price
Chikoos	5 kg for $13
Grapefruits	2 kg for $4

1. Warren bought an equal mass of chikoos and grapefruits and spent $42 more on chikoos than on grapefruits. What was the total mass of fruits that Warren bought?
2. Jaslyn spent an equal amount of money on chikoos and grapefruits. In terms of their masses, what was the ratio of chikoos to the ratio of grapefruits Jaslyn bought?

(a)
LCM of 5 and 2 = 10

One set = 10 kg of chikoos and 10 kg of grapefruits

Number of sets of 5 kg of chikoos
= 10 ÷ 5
= 2

Number of sets of 2 kg of grapefruits
= 10 ÷ 2
= 5

Difference in price of chikoos and grapefruits in one set
= 2 x 13 - 5 x 4
= 26 - 20
= $6

Number of sets
= 42 ÷ 6
= 7

Mass of chikoos and grapefruits in one set
= 10 + 10
= 20 kg

Total mass of fruits bought
= 7 x 20
= 140 kg

(b)
LCM of 13 and 4 = 52

Number of sets of 5 kg of chikoos to be bought with $52
= 52 ÷ 13
= 4

Mass of 4 sets of 5 kg of chikoos
= 4 x 5
= 20 kg

Number of sets of 2 kg of chikoos to be bought with $52
= 52 ÷ 4
= 13

Mass of 13 sets of 2 kg of grapefruits
= 13 x 2
= 26 kg

Mass of chikoos : Mass of grapefruits 
20 : 26 _(÷2)
10 : 13

Answer(s): (a) 140 kg; (b) 10 : 13