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

Fruit	Price
Persimmons	4 kg for $11
Mangoes	6 kg for $9

1. Asher bought an equal mass of persimmons and mangoes and spent $30 more on persimmons than on mangoes. What was the total mass of fruits that Asher bought?
2. Jane spent an equal amount of money on persimmons and mangoes. In terms of their masses, what was the ratio of persimmons to the ratio of mangoes Jane bought?

(a)
LCM of 4 and 6 = 12

One set = 12 kg of persimmons and 12 kg of mangoes

Number of sets of 4 kg of persimmons
= 12 ÷ 4
= 3

Number of sets of 6 kg of mangoes
= 12 ÷ 6
= 2

Difference in price of persimmons and mangoes in one set
= 3 x 11 - 2 x 9
= 33 - 18
= $15

Number of sets
= 30 ÷ 15
= 2

Mass of persimmons and mangoes in one set
= 12 + 12
= 24 kg

Total mass of fruits bought
= 2 x 24
= 48 kg

(b)
LCM of 11 and 9 = 99

Number of sets of 4 kg of persimmons to be bought with $99
= 99 ÷ 11
= 9

Mass of 9 sets of 4 kg of persimmons
= 9 x 4
= 36 kg

Number of sets of 6 kg of persimmons to be bought with $99
= 99 ÷ 9
= 11

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

Mass of persimmons : Mass of mangoes 
36 : 66 _(÷6)
6 : 11

Answer(s): (a) 48 kg; (b) 6 : 11