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

Fruit	Price
Pomegranates	2 kg for $9
Grapefruits	8 kg for $10

1. Harry bought an equal mass of pomegranates and grapefruits and spent $104 more on pomegranates than on grapefruits. What was the total mass of fruits that Harry bought?
2. Jade spent an equal amount of money on pomegranates and grapefruits. In terms of their masses, what was the ratio of pomegranates to the ratio of grapefruits Jade bought?

(a)
LCM of 2 and 8 = 8

One set = 8 kg of pomegranates and 8 kg of grapefruits

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

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

Difference in price of pomegranates and grapefruits in one set
= 4 x 9 - 1 x 10
= 36 - 10
= $26

Number of sets
= 104 ÷ 26
= 4

Mass of pomegranates and grapefruits in one set
= 8 + 8
= 16 kg

Total mass of fruits bought
= 4 x 16
= 64 kg

(b)
LCM of 9 and 10 = 90

Number of sets of 2 kg of pomegranates to be bought with $90
= 90 ÷ 9
= 10

Mass of 10 sets of 2 kg of pomegranates
= 10 x 2
= 20 kg

Number of sets of 8 kg of pomegranates to be bought with $90
= 90 ÷ 10
= 9

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

Mass of pomegranates : Mass of grapefruits 
20 : 72 _(÷4)
5 : 18

Answer(s): (a) 64 kg; (b) 5 : 18