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

Fruit	Price
Chikoos	5 kg for $10
Starfruits	6 kg for $6

1. Sean bought an equal mass of chikoos and starfruits and spent $120 more on chikoos than on starfruits. What was the total mass of fruits that Sean bought?
2. Yen spent an equal amount of money on chikoos and starfruits. In terms of their masses, what was the ratio of chikoos to the ratio of starfruits Yen bought?

(a)
LCM of 5 and 6 = 30

One set = 30 kg of chikoos and 30 kg of starfruits

Number of sets of 5 kg of chikoos
= 30 ÷ 5
= 6

Number of sets of 6 kg of starfruits
= 30 ÷ 6
= 5

Difference in price of chikoos and starfruits in one set
= 6 x 10 - 5 x 6
= 60 - 30
= $30

Number of sets
= 120 ÷ 30
= 4

Mass of chikoos and starfruits in one set
= 30 + 30
= 60 kg

Total mass of fruits bought
= 4 x 60
= 240 kg

(b)
LCM of 10 and 6 = 30

Number of sets of 5 kg of chikoos to be bought with $30
= 30 ÷ 10
= 3

Mass of 3 sets of 5 kg of chikoos
= 3 x 5
= 15 kg

Number of sets of 6 kg of chikoos to be bought with $30
= 30 ÷ 6
= 5

Mass of 5 sets of 6 kg of starfruits
= 5 x 6
= 30 kg

Mass of chikoos : Mass of starfruits 
15 : 30 _(÷15)
1 : 2

Answer(s): (a) 240 kg; (b) 1 : 2