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

Fruit	Price
Kiwis	2 kg for $8
Guavas	5 kg for $6

1. Daniel bought an equal mass of kiwis and guavas and spent $84 more on kiwis than on guavas. What was the total mass of fruits that Daniel bought?
2. Marion spent an equal amount of money on kiwis and guavas. In terms of their masses, what was the ratio of kiwis to the ratio of guavas Marion bought?

(a)
LCM of 2 and 5 = 10

One set = 10 kg of kiwis and 10 kg of guavas

Number of sets of 2 kg of kiwis
= 10 ÷ 2
= 5

Number of sets of 5 kg of guavas
= 10 ÷ 5
= 2

Difference in price of kiwis and guavas in one set
= 5 x 8 - 2 x 6
= 40 - 12
= $28

Number of sets
= 84 ÷ 28
= 3

Mass of kiwis and guavas in one set
= 10 + 10
= 20 kg

Total mass of fruits bought
= 3 x 20
= 60 kg

(b)
LCM of 8 and 6 = 24

Number of sets of 2 kg of kiwis to be bought with $24
= 24 ÷ 8
= 3

Mass of 3 sets of 2 kg of kiwis
= 3 x 2
= 6 kg

Number of sets of 5 kg of kiwis to be bought with $24
= 24 ÷ 6
= 4

Mass of 4 sets of 5 kg of guavas
= 4 x 5
= 20 kg

Mass of kiwis : Mass of guavas 
6 : 20 _(÷2)
3 : 10

Answer(s): (a) 60 kg; (b) 3 : 10