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

Fruit	Price
Kiwis	3 kg for $15
Peaches	6 kg for $8

1. Ken bought an equal mass of kiwis and peaches and spent $110 more on kiwis than on peaches. What was the total mass of fruits that Ken bought?
2. Kimberly spent an equal amount of money on kiwis and peaches. In terms of their masses, what was the ratio of kiwis to the ratio of peaches Kimberly bought?

(a)
LCM of 3 and 6 = 6

One set = 6 kg of kiwis and 6 kg of peaches

Number of sets of 3 kg of kiwis
= 6 ÷ 3
= 2

Number of sets of 6 kg of peaches
= 6 ÷ 6
= 1

Difference in price of kiwis and peaches in one set
= 2 x 15 - 1 x 8
= 30 - 8
= $22

Number of sets
= 110 ÷ 22
= 5

Mass of kiwis and peaches in one set
= 6 + 6
= 12 kg

Total mass of fruits bought
= 5 x 12
= 60 kg

(b)
LCM of 15 and 8 = 120

Number of sets of 3 kg of kiwis to be bought with $120
= 120 ÷ 15
= 8

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

Number of sets of 6 kg of kiwis to be bought with $120
= 120 ÷ 8
= 15

Mass of 15 sets of 6 kg of peaches
= 15 x 6
= 90 kg

Mass of kiwis : Mass of peaches 
24 : 90 _(÷6)
4 : 15

Answer(s): (a) 60 kg; (b) 4 : 15