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

Fruit	Price
Lemons	4 kg for $11
Dragonfruits	6 kg for $4

1. Jack bought an equal mass of lemons and dragonfruits and spent $100 more on lemons than on dragonfruits. What was the total mass of fruits that Jack bought?
2. Xandra spent an equal amount of money on lemons and dragonfruits. In terms of their masses, what was the ratio of lemons to the ratio of dragonfruits Xandra bought?

(a)
LCM of 4 and 6 = 12

One set = 12 kg of lemons and 12 kg of dragonfruits

Number of sets of 4 kg of lemons
= 12 ÷ 4
= 3

Number of sets of 6 kg of dragonfruits
= 12 ÷ 6
= 2

Difference in price of lemons and dragonfruits in one set
= 3 x 11 - 2 x 4
= 33 - 8
= $25

Number of sets
= 100 ÷ 25
= 4

Mass of lemons and dragonfruits in one set
= 12 + 12
= 24 kg

Total mass of fruits bought
= 4 x 24
= 96 kg

(b)
LCM of 11 and 4 = 44

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

Mass of 4 sets of 4 kg of lemons
= 4 x 4
= 16 kg

Number of sets of 6 kg of lemons to be bought with $44
= 44 ÷ 4
= 11

Mass of 11 sets of 6 kg of dragonfruits
= 11 x 6
= 66 kg

Mass of lemons : Mass of dragonfruits 
16 : 66 _(÷2)
8 : 33

Answer(s): (a) 96 kg; (b) 8 : 33