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

Fruit	Price
Mangoes	2 kg for $9
Grapefruits	6 kg for $5

1. Andy bought an equal mass of mangoes and grapefruits and spent $88 more on mangoes than on grapefruits. What was the total mass of fruits that Andy bought?
2. Erika spent an equal amount of money on mangoes and grapefruits. In terms of their masses, what was the ratio of mangoes to the ratio of grapefruits Erika bought?

(a)
LCM of 2 and 6 = 6

One set = 6 kg of mangoes and 6 kg of grapefruits

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

Number of sets of 6 kg of grapefruits
= 6 ÷ 6
= 1

Difference in price of mangoes and grapefruits in one set
= 3 x 9 - 1 x 5
= 27 - 5
= $22

Number of sets
= 88 ÷ 22
= 4

Mass of mangoes and grapefruits in one set
= 6 + 6
= 12 kg

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

(b)
LCM of 9 and 5 = 45

Number of sets of 2 kg of mangoes to be bought with $45
= 45 ÷ 9
= 5

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

Number of sets of 6 kg of mangoes to be bought with $45
= 45 ÷ 5
= 9

Mass of 9 sets of 6 kg of grapefruits
= 9 x 6
= 54 kg

Mass of mangoes : Mass of grapefruits 
10 : 54 _(÷2)
5 : 27

Answer(s): (a) 48 kg; (b) 5 : 27