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

Fruit	Price
Guavas	2 kg for $9
Pears	8 kg for $10

1. Ahmad bought an equal mass of guavas and pears and spent $52 more on guavas than on pears. What was the total mass of fruits that Ahmad bought?
2. Diana spent an equal amount of money on guavas and pears. In terms of their masses, what was the ratio of guavas to the ratio of pears Diana bought?

(a)
LCM of 2 and 8 = 8

One set = 8 kg of guavas and 8 kg of pears

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

Number of sets of 8 kg of pears
= 8 ÷ 8
= 1

Difference in price of guavas and pears in one set
= 4 x 9 - 1 x 10
= 36 - 10
= $26

Number of sets
= 52 ÷ 26
= 2

Mass of guavas and pears in one set
= 8 + 8
= 16 kg

Total mass of fruits bought
= 2 x 16
= 32 kg

(b)
LCM of 9 and 10 = 90

Number of sets of 2 kg of guavas to be bought with $90
= 90 ÷ 9
= 10

Mass of 10 sets of 2 kg of guavas
= 10 x 2
= 20 kg

Number of sets of 8 kg of guavas to be bought with $90
= 90 ÷ 10
= 9

Mass of 9 sets of 8 kg of pears
= 9 x 8
= 72 kg

Mass of guavas : Mass of pears 
20 : 72 _(÷4)
5 : 18

Answer(s): (a) 32 kg; (b) 5 : 18