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

Fruit	Price
Chikoos	2 kg for $9
Pomegranates	6 kg for $8

1. Ryan bought an equal mass of chikoos and pomegranates and spent $76 more on chikoos than on pomegranates. What was the total mass of fruits that Ryan bought?
2. Emma spent an equal amount of money on chikoos and pomegranates. In terms of their masses, what was the ratio of chikoos to the ratio of pomegranates Emma bought?

(a)
LCM of 2 and 6 = 6

One set = 6 kg of chikoos and 6 kg of pomegranates

Number of sets of 2 kg of chikoos
= 6 ÷ 2
= 3

Number of sets of 6 kg of pomegranates
= 6 ÷ 6
= 1

Difference in price of chikoos and pomegranates in one set
= 3 x 9 - 1 x 8
= 27 - 8
= $19

Number of sets
= 76 ÷ 19
= 4

Mass of chikoos and pomegranates in one set
= 6 + 6
= 12 kg

Total mass of fruits bought
= 4 x 12
= 48 kg

(b)
LCM of 9 and 8 = 72

Number of sets of 2 kg of chikoos to be bought with $72
= 72 ÷ 9
= 8

Mass of 8 sets of 2 kg of chikoos
= 8 x 2
= 16 kg

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

Mass of 9 sets of 6 kg of pomegranates
= 9 x 6
= 54 kg

Mass of chikoos : Mass of pomegranates 
16 : 54 _(÷2)
8 : 27

Answer(s): (a) 48 kg; (b) 8 : 27