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

Fruit	Price
Mangoes	2 kg for $8
Dragonfruits	4 kg for $5

1. Ben bought an equal mass of mangoes and dragonfruits and spent $77 more on mangoes than on dragonfruits. What was the total mass of fruits that Ben bought?
2. Jean spent an equal amount of money on mangoes and dragonfruits. In terms of their masses, what was the ratio of mangoes to the ratio of dragonfruits Jean bought?

(a)
LCM of 2 and 4 = 4

One set = 4 kg of mangoes and 4 kg of dragonfruits

Number of sets of 2 kg of mangoes
= 4 ÷ 2
= 2

Number of sets of 4 kg of dragonfruits
= 4 ÷ 4
= 1

Difference in price of mangoes and dragonfruits in one set
= 2 x 8 - 1 x 5
= 16 - 5
= $11

Number of sets
= 77 ÷ 11
= 7

Mass of mangoes and dragonfruits in one set
= 4 + 4
= 8 kg

Total mass of fruits bought
= 7 x 8
= 56 kg

(b)
LCM of 8 and 5 = 40

Number of sets of 2 kg of mangoes to be bought with $40
= 40 ÷ 8
= 5

Mass of 5 sets of 2 kg of mangoes
= 5 x 2
= 10 kg

Number of sets of 4 kg of mangoes to be bought with $40
= 40 ÷ 5
= 8

Mass of 8 sets of 4 kg of dragonfruits
= 8 x 4
= 32 kg

Mass of mangoes : Mass of dragonfruits 
10 : 32 _(÷2)
5 : 16

Answer(s): (a) 56 kg; (b) 5 : 16