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

Fruit	Price
Mangosteens	3 kg for $13
Dragonfruits	2 kg for $4

1. Albert bought an equal mass of mangosteens and dragonfruits and spent $98 more on mangosteens than on dragonfruits. What was the total mass of fruits that Albert bought?
2. Zoe spent an equal amount of money on mangosteens and dragonfruits. In terms of their masses, what was the ratio of mangosteens to the ratio of dragonfruits Zoe bought?

(a)
LCM of 3 and 2 = 6

One set = 6 kg of mangosteens and 6 kg of dragonfruits

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

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

Difference in price of mangosteens and dragonfruits in one set
= 2 x 13 - 3 x 4
= 26 - 12
= $14

Number of sets
= 98 ÷ 14
= 7

Mass of mangosteens and dragonfruits in one set
= 6 + 6
= 12 kg

Total mass of fruits bought
= 7 x 12
= 84 kg

(b)
LCM of 13 and 4 = 52

Number of sets of 3 kg of mangosteens to be bought with $52
= 52 ÷ 13
= 4

Mass of 4 sets of 3 kg of mangosteens
= 4 x 3
= 12 kg

Number of sets of 2 kg of mangosteens to be bought with $52
= 52 ÷ 4
= 13

Mass of 13 sets of 2 kg of dragonfruits
= 13 x 2
= 26 kg

Mass of mangosteens : Mass of dragonfruits 
12 : 26 _(÷2)
6 : 13

Answer(s): (a) 84 kg; (b) 6 : 13