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

Fruit	Price
Starfruits	4 kg for $14
Chikoos	8 kg for $4

1. Oliver bought an equal mass of starfruits and chikoos and spent $120 more on starfruits than on chikoos. What was the total mass of fruits that Oliver bought?
2. Diana spent an equal amount of money on starfruits and chikoos. In terms of their masses, what was the ratio of starfruits to the ratio of chikoos Diana bought?

(a)
LCM of 4 and 8 = 8

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

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

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

Difference in price of starfruits and chikoos in one set
= 2 x 14 - 1 x 4
= 28 - 4
= $24

Number of sets
= 120 ÷ 24
= 5

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

Total mass of fruits bought
= 5 x 16
= 80 kg

(b)
LCM of 14 and 4 = 28

Number of sets of 4 kg of starfruits to be bought with $28
= 28 ÷ 14
= 2

Mass of 2 sets of 4 kg of starfruits
= 2 x 4
= 8 kg

Number of sets of 8 kg of starfruits to be bought with $28
= 28 ÷ 4
= 7

Mass of 7 sets of 8 kg of chikoos
= 7 x 8
= 56 kg

Mass of starfruits : Mass of chikoos 
8 : 56 _(÷8)
1 : 7

Answer(s): (a) 80 kg; (b) 1 : 7