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

Fruit	Price
Dragonfruits	2 kg for $7
Mangosteens	3 kg for $3

1. Will bought an equal mass of dragonfruits and mangosteens and spent $60 more on dragonfruits than on mangosteens. What was the total mass of fruits that Will bought?
2. Natalie spent an equal amount of money on dragonfruits and mangosteens. In terms of their masses, what was the ratio of dragonfruits to the ratio of mangosteens Natalie bought?

(a)
LCM of 2 and 3 = 6

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

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

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

Difference in price of dragonfruits and mangosteens in one set
= 3 x 7 - 2 x 3
= 21 - 6
= $15

Number of sets
= 60 ÷ 15
= 4

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

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

(b)
LCM of 7 and 3 = 21

Number of sets of 2 kg of dragonfruits to be bought with $21
= 21 ÷ 7
= 3

Mass of 3 sets of 2 kg of dragonfruits
= 3 x 2
= 6 kg

Number of sets of 3 kg of dragonfruits to be bought with $21
= 21 ÷ 3
= 7

Mass of 7 sets of 3 kg of mangosteens
= 7 x 3
= 21 kg

Mass of dragonfruits : Mass of mangosteens 
6 : 21 _(÷3)
2 : 7

Answer(s): (a) 48 kg; (b) 2 : 7