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

Fruit	Price
Passion Fruits	5 kg for $11
Pomegranates	4 kg for $4

1. Carl bought an equal mass of passion fruits and pomegranates and spent $72 more on passion fruits than on pomegranates. What was the total mass of fruits that Carl bought?
2. Roshel spent an equal amount of money on passion fruits and pomegranates. In terms of their masses, what was the ratio of passion fruits to the ratio of pomegranates Roshel bought?

(a)
LCM of 5 and 4 = 20

One set = 20 kg of passion fruits and 20 kg of pomegranates

Number of sets of 5 kg of passion fruits
= 20 ÷ 5
= 4

Number of sets of 4 kg of pomegranates
= 20 ÷ 4
= 5

Difference in price of passion fruits and pomegranates in one set
= 4 x 11 - 5 x 4
= 44 - 20
= $24

Number of sets
= 72 ÷ 24
= 3

Mass of passion fruits and pomegranates in one set
= 20 + 20
= 40 kg

Total mass of fruits bought
= 3 x 40
= 120 kg

(b)
LCM of 11 and 4 = 44

Number of sets of 5 kg of passion fruits to be bought with $44
= 44 ÷ 11
= 4

Mass of 4 sets of 5 kg of passion fruits
= 4 x 5
= 20 kg

Number of sets of 4 kg of passion fruits to be bought with $44
= 44 ÷ 4
= 11

Mass of 11 sets of 4 kg of pomegranates
= 11 x 4
= 44 kg

Mass of passion fruits : Mass of pomegranates 
20 : 44 _(÷4)
5 : 11

Answer(s): (a) 120 kg; (b) 5 : 11