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

Fruit	Price
Lemons	2 kg for $8
Passion Fruits	8 kg for $7

1. Archie bought an equal mass of lemons and passion fruits and spent $75 more on lemons than on passion fruits. What was the total mass of fruits that Archie bought?
2. Elyse spent an equal amount of money on lemons and passion fruits. In terms of their masses, what was the ratio of lemons to the ratio of passion fruits Elyse bought?

(a)
LCM of 2 and 8 = 8

One set = 8 kg of lemons and 8 kg of passion fruits

Number of sets of 2 kg of lemons
= 8 ÷ 2
= 4

Number of sets of 8 kg of passion fruits
= 8 ÷ 8
= 1

Difference in price of lemons and passion fruits in one set
= 4 x 8 - 1 x 7
= 32 - 7
= $25

Number of sets
= 75 ÷ 25
= 3

Mass of lemons and passion fruits in one set
= 8 + 8
= 16 kg

Total mass of fruits bought
= 3 x 16
= 48 kg

(b)
LCM of 8 and 7 = 56

Number of sets of 2 kg of lemons to be bought with $56
= 56 ÷ 8
= 7

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

Number of sets of 8 kg of lemons to be bought with $56
= 56 ÷ 7
= 8

Mass of 8 sets of 8 kg of passion fruits
= 8 x 8
= 64 kg

Mass of lemons : Mass of passion fruits 
14 : 64 _(÷2)
7 : 32

Answer(s): (a) 48 kg; (b) 7 : 32