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

Fruit	Price
Chikoos	4 kg for $13
Dragonfruits	8 kg for $8

1. Elijah bought an equal mass of chikoos and dragonfruits and spent $72 more on chikoos than on dragonfruits. What was the total mass of fruits that Elijah bought?
2. Diana spent an equal amount of money on chikoos and dragonfruits. In terms of their masses, what was the ratio of chikoos to the ratio of dragonfruits Diana bought?

(a)
LCM of 4 and 8 = 8

One set = 8 kg of chikoos and 8 kg of dragonfruits

Number of sets of 4 kg of chikoos
= 8 ÷ 4
= 2

Number of sets of 8 kg of dragonfruits
= 8 ÷ 8
= 1

Difference in price of chikoos and dragonfruits in one set
= 2 x 13 - 1 x 8
= 26 - 8
= $18

Number of sets
= 72 ÷ 18
= 4

Mass of chikoos and dragonfruits in one set
= 8 + 8
= 16 kg

Total mass of fruits bought
= 4 x 16
= 64 kg

(b)
LCM of 13 and 8 = 104

Number of sets of 4 kg of chikoos to be bought with $104
= 104 ÷ 13
= 8

Mass of 8 sets of 4 kg of chikoos
= 8 x 4
= 32 kg

Number of sets of 8 kg of chikoos to be bought with $104
= 104 ÷ 8
= 13

Mass of 13 sets of 8 kg of dragonfruits
= 13 x 8
= 104 kg

Mass of chikoos : Mass of dragonfruits 
32 : 104 _(÷8)
4 : 13

Answer(s): (a) 64 kg; (b) 4 : 13