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

Fruit	Price
Mangoes	6 kg for $12
Mangosteens	8 kg for $8

1. Valen bought an equal mass of mangoes and mangosteens and spent $96 more on mangoes than on mangosteens. What was the total mass of fruits that Valen bought?
2. Risa spent an equal amount of money on mangoes and mangosteens. In terms of their masses, what was the ratio of mangoes to the ratio of mangosteens Risa bought?

(a)
LCM of 6 and 8 = 24

One set = 24 kg of mangoes and 24 kg of mangosteens

Number of sets of 6 kg of mangoes
= 24 ÷ 6
= 4

Number of sets of 8 kg of mangosteens
= 24 ÷ 8
= 3

Difference in price of mangoes and mangosteens in one set
= 4 x 12 - 3 x 8
= 48 - 24
= $24

Number of sets
= 96 ÷ 24
= 4

Mass of mangoes and mangosteens in one set
= 24 + 24
= 48 kg

Total mass of fruits bought
= 4 x 48
= 192 kg

(b)
LCM of 12 and 8 = 24

Number of sets of 6 kg of mangoes to be bought with $24
= 24 ÷ 12
= 2

Mass of 2 sets of 6 kg of mangoes
= 2 x 6
= 12 kg

Number of sets of 8 kg of mangoes to be bought with $24
= 24 ÷ 8
= 3

Mass of 3 sets of 8 kg of mangosteens
= 3 x 8
= 24 kg

Mass of mangoes : Mass of mangosteens 
12 : 24 _(÷12)
1 : 2

Answer(s): (a) 192 kg; (b) 1 : 2