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

Fruit	Price
Pomegranates	6 kg for $9
Kiwis	8 kg for $8

1. Luis bought an equal mass of pomegranates and kiwis and spent $48 more on pomegranates than on kiwis. What was the total mass of fruits that Luis bought?
2. Natalie spent an equal amount of money on pomegranates and kiwis. In terms of their masses, what was the ratio of pomegranates to the ratio of kiwis Natalie bought?

(a)
LCM of 6 and 8 = 24

One set = 24 kg of pomegranates and 24 kg of kiwis

Number of sets of 6 kg of pomegranates
= 24 ÷ 6
= 4

Number of sets of 8 kg of kiwis
= 24 ÷ 8
= 3

Difference in price of pomegranates and kiwis in one set
= 4 x 9 - 3 x 8
= 36 - 24
= $12

Number of sets
= 48 ÷ 12
= 4

Mass of pomegranates and kiwis in one set
= 24 + 24
= 48 kg

Total mass of fruits bought
= 4 x 48
= 192 kg

(b)
LCM of 9 and 8 = 72

Number of sets of 6 kg of pomegranates to be bought with $72
= 72 ÷ 9
= 8

Mass of 8 sets of 6 kg of pomegranates
= 8 x 6
= 48 kg

Number of sets of 8 kg of pomegranates to be bought with $72
= 72 ÷ 8
= 9

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

Mass of pomegranates : Mass of kiwis 
48 : 72 _(÷24)
2 : 3

Answer(s): (a) 192 kg; (b) 2 : 3