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

Fruit	Price
Pomegranates	6 kg for $7
Passion Fruits	4 kg for $4

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

(a)
LCM of 6 and 4 = 12

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

Number of sets of 6 kg of pomegranates
= 12 ÷ 6
= 2

Number of sets of 4 kg of passion fruits
= 12 ÷ 4
= 3

Difference in price of pomegranates and passion fruits in one set
= 2 x 7 - 3 x 4
= 14 - 12
= $2

Number of sets
= 6 ÷ 2
= 3

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

Total mass of fruits bought
= 3 x 24
= 72 kg

(b)
LCM of 7 and 4 = 28

Number of sets of 6 kg of pomegranates to be bought with $28
= 28 ÷ 7
= 4

Mass of 4 sets of 6 kg of pomegranates
= 4 x 6
= 24 kg

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

Mass of 7 sets of 4 kg of passion fruits
= 7 x 4
= 28 kg

Mass of pomegranates : Mass of passion fruits 
24 : 28 _(÷4)
6 : 7

Answer(s): (a) 72 kg; (b) 6 : 7