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

Fruit	Price
Kiwis	6 kg for $9
Chikoos	8 kg for $5

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

(a)
LCM of 6 and 8 = 24

One set = 24 kg of kiwis and 24 kg of chikoos

Number of sets of 6 kg of kiwis
= 24 ÷ 6
= 4

Number of sets of 8 kg of chikoos
= 24 ÷ 8
= 3

Difference in price of kiwis and chikoos in one set
= 4 x 9 - 3 x 5
= 36 - 15
= $21

Number of sets
= 84 ÷ 21
= 4

Mass of kiwis and chikoos in one set
= 24 + 24
= 48 kg

Total mass of fruits bought
= 4 x 48
= 192 kg

(b)
LCM of 9 and 5 = 45

Number of sets of 6 kg of kiwis to be bought with $45
= 45 ÷ 9
= 5

Mass of 5 sets of 6 kg of kiwis
= 5 x 6
= 30 kg

Number of sets of 8 kg of kiwis to be bought with $45
= 45 ÷ 5
= 9

Mass of 9 sets of 8 kg of chikoos
= 9 x 8
= 72 kg

Mass of kiwis : Mass of chikoos 
30 : 72 _(÷6)
5 : 12

Answer(s): (a) 192 kg; (b) 5 : 12