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

Fruit	Price
Kiwis	4 kg for $14
Persimmons	3 kg for $9

1. Tim bought an equal mass of kiwis and persimmons and spent $12 more on kiwis than on persimmons. What was the total mass of fruits that Tim bought?
2. Emma spent an equal amount of money on kiwis and persimmons. In terms of their masses, what was the ratio of kiwis to the ratio of persimmons Emma bought?

(a)
LCM of 4 and 3 = 12

One set = 12 kg of kiwis and 12 kg of persimmons

Number of sets of 4 kg of kiwis
= 12 ÷ 4
= 3

Number of sets of 3 kg of persimmons
= 12 ÷ 3
= 4

Difference in price of kiwis and persimmons in one set
= 3 x 14 - 4 x 9
= 42 - 36
= $6

Number of sets
= 12 ÷ 6
= 2

Mass of kiwis and persimmons in one set
= 12 + 12
= 24 kg

Total mass of fruits bought
= 2 x 24
= 48 kg

(b)
LCM of 14 and 9 = 126

Number of sets of 4 kg of kiwis to be bought with $126
= 126 ÷ 14
= 9

Mass of 9 sets of 4 kg of kiwis
= 9 x 4
= 36 kg

Number of sets of 3 kg of kiwis to be bought with $126
= 126 ÷ 9
= 14

Mass of 14 sets of 3 kg of persimmons
= 14 x 3
= 42 kg

Mass of kiwis : Mass of persimmons 
36 : 42 _(÷6)
6 : 7

Answer(s): (a) 48 kg; (b) 6 : 7