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

Fruit	Price
Dragonfruits	5 kg for $11
Kiwis	3 kg for $6

1. Tommy bought an equal mass of dragonfruits and kiwis and spent $15 more on dragonfruits than on kiwis. What was the total mass of fruits that Tommy bought?
2. Tina spent an equal amount of money on dragonfruits and kiwis. In terms of their masses, what was the ratio of dragonfruits to the ratio of kiwis Tina bought?

(a)
LCM of 5 and 3 = 15

One set = 15 kg of dragonfruits and 15 kg of kiwis

Number of sets of 5 kg of dragonfruits
= 15 ÷ 5
= 3

Number of sets of 3 kg of kiwis
= 15 ÷ 3
= 5

Difference in price of dragonfruits and kiwis in one set
= 3 x 11 - 5 x 6
= 33 - 30
= $3

Number of sets
= 15 ÷ 3
= 5

Mass of dragonfruits and kiwis in one set
= 15 + 15
= 30 kg

Total mass of fruits bought
= 5 x 30
= 150 kg

(b)
LCM of 11 and 6 = 66

Number of sets of 5 kg of dragonfruits to be bought with $66
= 66 ÷ 11
= 6

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

Number of sets of 3 kg of dragonfruits to be bought with $66
= 66 ÷ 6
= 11

Mass of 11 sets of 3 kg of kiwis
= 11 x 3
= 33 kg

Mass of dragonfruits : Mass of kiwis 
30 : 33 _(÷3)
10 : 11

Answer(s): (a) 150 kg; (b) 10 : 11