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

Fruit	Price
Kiwis	6 kg for $15
Lemons	8 kg for $10

1. Xavier bought an equal mass of kiwis and lemons and spent $120 more on kiwis than on lemons. What was the total mass of fruits that Xavier bought?
2. Joelle spent an equal amount of money on kiwis and lemons. In terms of their masses, what was the ratio of kiwis to the ratio of lemons Joelle bought?

(a)
LCM of 6 and 8 = 24

One set = 24 kg of kiwis and 24 kg of lemons

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

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

Difference in price of kiwis and lemons in one set
= 4 x 15 - 3 x 10
= 60 - 30
= $30

Number of sets
= 120 ÷ 30
= 4

Mass of kiwis and lemons in one set
= 24 + 24
= 48 kg

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

(b)
LCM of 15 and 10 = 30

Number of sets of 6 kg of kiwis to be bought with $30
= 30 ÷ 15
= 2

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

Number of sets of 8 kg of kiwis to be bought with $30
= 30 ÷ 10
= 3

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

Mass of kiwis : Mass of lemons 
12 : 24 _(÷12)
1 : 2

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