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

Fruit	Price
Mangoes	5 kg for $11
Persimmons	6 kg for $8

1. Harry bought an equal mass of mangoes and persimmons and spent $52 more on mangoes than on persimmons. What was the total mass of fruits that Harry bought?
2. Nicole spent an equal amount of money on mangoes and persimmons. In terms of their masses, what was the ratio of mangoes to the ratio of persimmons Nicole bought?

(a)
LCM of 5 and 6 = 30

One set = 30 kg of mangoes and 30 kg of persimmons

Number of sets of 5 kg of mangoes
= 30 ÷ 5
= 6

Number of sets of 6 kg of persimmons
= 30 ÷ 6
= 5

Difference in price of mangoes and persimmons in one set
= 6 x 11 - 5 x 8
= 66 - 40
= $26

Number of sets
= 52 ÷ 26
= 2

Mass of mangoes and persimmons in one set
= 30 + 30
= 60 kg

Total mass of fruits bought
= 2 x 60
= 120 kg

(b)
LCM of 11 and 8 = 88

Number of sets of 5 kg of mangoes to be bought with $88
= 88 ÷ 11
= 8

Mass of 8 sets of 5 kg of mangoes
= 8 x 5
= 40 kg

Number of sets of 6 kg of mangoes to be bought with $88
= 88 ÷ 8
= 11

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

Mass of mangoes : Mass of persimmons 
40 : 66 _(÷2)
20 : 33

Answer(s): (a) 120 kg; (b) 20 : 33