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

Fruit	Price
Passion Fruits	6 kg for $14
Starfruits	4 kg for $9

1. Warren bought an equal mass of passion fruits and starfruits and spent $6 more on passion fruits than on starfruits. What was the total mass of fruits that Warren bought?
2. Natalie spent an equal amount of money on passion fruits and starfruits. In terms of their masses, what was the ratio of passion fruits to the ratio of starfruits Natalie bought?

(a)
LCM of 6 and 4 = 12

One set = 12 kg of passion fruits and 12 kg of starfruits

Number of sets of 6 kg of passion fruits
= 12 ÷ 6
= 2

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

Difference in price of passion fruits and starfruits in one set
= 2 x 14 - 3 x 9
= 28 - 27
= $1

Number of sets
= 6 ÷ 1
= 6

Mass of passion fruits and starfruits in one set
= 12 + 12
= 24 kg

Total mass of fruits bought
= 6 x 24
= 144 kg

(b)
LCM of 14 and 9 = 126

Number of sets of 6 kg of passion fruits to be bought with $126
= 126 ÷ 14
= 9

Mass of 9 sets of 6 kg of passion fruits
= 9 x 6
= 54 kg

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

Mass of 14 sets of 4 kg of starfruits
= 14 x 4
= 56 kg

Mass of passion fruits : Mass of starfruits 
54 : 56 _(÷2)
27 : 28

Answer(s): (a) 144 kg; (b) 27 : 28