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

Fruit	Price
Mangoes	5 kg for $7
Chikoos	4 kg for $4

1. Charlie bought an equal mass of mangoes and chikoos and spent $32 more on mangoes than on chikoos. What was the total mass of fruits that Charlie bought?
2. Esther spent an equal amount of money on mangoes and chikoos. In terms of their masses, what was the ratio of mangoes to the ratio of chikoos Esther bought?

(a)
LCM of 5 and 4 = 20

One set = 20 kg of mangoes and 20 kg of chikoos

Number of sets of 5 kg of mangoes
= 20 ÷ 5
= 4

Number of sets of 4 kg of chikoos
= 20 ÷ 4
= 5

Difference in price of mangoes and chikoos in one set
= 4 x 7 - 5 x 4
= 28 - 20
= $8

Number of sets
= 32 ÷ 8
= 4

Mass of mangoes and chikoos in one set
= 20 + 20
= 40 kg

Total mass of fruits bought
= 4 x 40
= 160 kg

(b)
LCM of 7 and 4 = 28

Number of sets of 5 kg of mangoes to be bought with $28
= 28 ÷ 7
= 4

Mass of 4 sets of 5 kg of mangoes
= 4 x 5
= 20 kg

Number of sets of 4 kg of mangoes to be bought with $28
= 28 ÷ 4
= 7

Mass of 7 sets of 4 kg of chikoos
= 7 x 4
= 28 kg

Mass of mangoes : Mass of chikoos 
20 : 28 _(÷4)
5 : 7

Answer(s): (a) 160 kg; (b) 5 : 7