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

Fruit	Price
Lemons	4 kg for $14
Mangoes	2 kg for $6

1. Zane bought an equal mass of lemons and mangoes and spent $6 more on lemons than on mangoes. What was the total mass of fruits that Zane bought?
2. Penelope spent an equal amount of money on lemons and mangoes. In terms of their masses, what was the ratio of lemons to the ratio of mangoes Penelope bought?

(a)
LCM of 4 and 2 = 4

One set = 4 kg of lemons and 4 kg of mangoes

Number of sets of 4 kg of lemons
= 4 ÷ 4
= 1

Number of sets of 2 kg of mangoes
= 4 ÷ 2
= 2

Difference in price of lemons and mangoes in one set
= 1 x 14 - 2 x 6
= 14 - 12
= $2

Number of sets
= 6 ÷ 2
= 3

Mass of lemons and mangoes in one set
= 4 + 4
= 8 kg

Total mass of fruits bought
= 3 x 8
= 24 kg

(b)
LCM of 14 and 6 = 42

Number of sets of 4 kg of lemons to be bought with $42
= 42 ÷ 14
= 3

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

Number of sets of 2 kg of lemons to be bought with $42
= 42 ÷ 6
= 7

Mass of 7 sets of 2 kg of mangoes
= 7 x 2
= 14 kg

Mass of lemons : Mass of mangoes 
12 : 14 _(÷2)
6 : 7

Answer(s): (a) 24 kg; (b) 6 : 7