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

Fruit	Price
Chikoos	2 kg for $13
Passion Fruits	4 kg for $5

1. Henry bought an equal mass of chikoos and passion fruits and spent $84 more on chikoos than on passion fruits. What was the total mass of fruits that Henry bought?
2. Opal spent an equal amount of money on chikoos and passion fruits. In terms of their masses, what was the ratio of chikoos to the ratio of passion fruits Opal bought?

(a)
LCM of 2 and 4 = 4

One set = 4 kg of chikoos and 4 kg of passion fruits

Number of sets of 2 kg of chikoos
= 4 ÷ 2
= 2

Number of sets of 4 kg of passion fruits
= 4 ÷ 4
= 1

Difference in price of chikoos and passion fruits in one set
= 2 x 13 - 1 x 5
= 26 - 5
= $21

Number of sets
= 84 ÷ 21
= 4

Mass of chikoos and passion fruits in one set
= 4 + 4
= 8 kg

Total mass of fruits bought
= 4 x 8
= 32 kg

(b)
LCM of 13 and 5 = 65

Number of sets of 2 kg of chikoos to be bought with $65
= 65 ÷ 13
= 5

Mass of 5 sets of 2 kg of chikoos
= 5 x 2
= 10 kg

Number of sets of 4 kg of chikoos to be bought with $65
= 65 ÷ 5
= 13

Mass of 13 sets of 4 kg of passion fruits
= 13 x 4
= 52 kg

Mass of chikoos : Mass of passion fruits 
10 : 52 _(÷2)
5 : 26

Answer(s): (a) 32 kg; (b) 5 : 26