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

Fruit	Price
Mangosteens	4 kg for $7
Pears	3 kg for $3

1. Howard bought an equal mass of mangosteens and pears and spent $18 more on mangosteens than on pears. What was the total mass of fruits that Howard bought?
2. Tina spent an equal amount of money on mangosteens and pears. In terms of their masses, what was the ratio of mangosteens to the ratio of pears Tina bought?

(a)
LCM of 4 and 3 = 12

One set = 12 kg of mangosteens and 12 kg of pears

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

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

Difference in price of mangosteens and pears in one set
= 3 x 7 - 4 x 3
= 21 - 12
= $9

Number of sets
= 18 ÷ 9
= 2

Mass of mangosteens and pears in one set
= 12 + 12
= 24 kg

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

(b)
LCM of 7 and 3 = 21

Number of sets of 4 kg of mangosteens to be bought with $21
= 21 ÷ 7
= 3

Mass of 3 sets of 4 kg of mangosteens
= 3 x 4
= 12 kg

Number of sets of 3 kg of mangosteens to be bought with $21
= 21 ÷ 3
= 7

Mass of 7 sets of 3 kg of pears
= 7 x 3
= 21 kg

Mass of mangosteens : Mass of pears 
12 : 21 _(÷3)
4 : 7

Answer(s): (a) 48 kg; (b) 4 : 7