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

Fruit	Price
Dragonfruits	5 kg for $7
Guavas	6 kg for $8

1. Pierre bought an equal mass of dragonfruits and guavas and spent $4 more on dragonfruits than on guavas. What was the total mass of fruits that Pierre bought?
2. Jean spent an equal amount of money on dragonfruits and guavas. In terms of their masses, what was the ratio of dragonfruits to the ratio of guavas Jean bought?

(a)
LCM of 5 and 6 = 30

One set = 30 kg of dragonfruits and 30 kg of guavas

Number of sets of 5 kg of dragonfruits
= 30 ÷ 5
= 6

Number of sets of 6 kg of guavas
= 30 ÷ 6
= 5

Difference in price of dragonfruits and guavas in one set
= 6 x 7 - 5 x 8
= 42 - 40
= $2

Number of sets
= 4 ÷ 2
= 2

Mass of dragonfruits and guavas in one set
= 30 + 30
= 60 kg

Total mass of fruits bought
= 2 x 60
= 120 kg

(b)
LCM of 7 and 8 = 56

Number of sets of 5 kg of dragonfruits to be bought with $56
= 56 ÷ 7
= 8

Mass of 8 sets of 5 kg of dragonfruits
= 8 x 5
= 40 kg

Number of sets of 6 kg of dragonfruits to be bought with $56
= 56 ÷ 8
= 7

Mass of 7 sets of 6 kg of guavas
= 7 x 6
= 42 kg

Mass of dragonfruits : Mass of guavas 
40 : 42 _(÷2)
20 : 21

Answer(s): (a) 120 kg; (b) 20 : 21