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

Fruit	Price
Pears	5 kg for $13
Lemons	3 kg for $3

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

(a)
LCM of 5 and 3 = 15

One set = 15 kg of pears and 15 kg of lemons

Number of sets of 5 kg of pears
= 15 ÷ 5
= 3

Number of sets of 3 kg of lemons
= 15 ÷ 3
= 5

Difference in price of pears and lemons in one set
= 3 x 13 - 5 x 3
= 39 - 15
= $24

Number of sets
= 120 ÷ 24
= 5

Mass of pears and lemons in one set
= 15 + 15
= 30 kg

Total mass of fruits bought
= 5 x 30
= 150 kg

(b)
LCM of 13 and 3 = 39

Number of sets of 5 kg of pears to be bought with $39
= 39 ÷ 13
= 3

Mass of 3 sets of 5 kg of pears
= 3 x 5
= 15 kg

Number of sets of 3 kg of pears to be bought with $39
= 39 ÷ 3
= 13

Mass of 13 sets of 3 kg of lemons
= 13 x 3
= 39 kg

Mass of pears : Mass of lemons 
15 : 39 _(÷3)
5 : 13

Answer(s): (a) 150 kg; (b) 5 : 13