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

Fruit	Price
Guavas	4 kg for $10
Passion Fruits	5 kg for $3

1. Neave bought an equal mass of guavas and passion fruits and spent $76 more on guavas than on passion fruits. What was the total mass of fruits that Neave bought?
2. Jade spent an equal amount of money on guavas and passion fruits. In terms of their masses, what was the ratio of guavas to the ratio of passion fruits Jade bought?

(a)
LCM of 4 and 5 = 20

One set = 20 kg of guavas and 20 kg of passion fruits

Number of sets of 4 kg of guavas
= 20 ÷ 4
= 5

Number of sets of 5 kg of passion fruits
= 20 ÷ 5
= 4

Difference in price of guavas and passion fruits in one set
= 5 x 10 - 4 x 3
= 50 - 12
= $38

Number of sets
= 76 ÷ 38
= 2

Mass of guavas and passion fruits in one set
= 20 + 20
= 40 kg

Total mass of fruits bought
= 2 x 40
= 80 kg

(b)
LCM of 10 and 3 = 30

Number of sets of 4 kg of guavas to be bought with $30
= 30 ÷ 10
= 3

Mass of 3 sets of 4 kg of guavas
= 3 x 4
= 12 kg

Number of sets of 5 kg of guavas to be bought with $30
= 30 ÷ 3
= 10

Mass of 10 sets of 5 kg of passion fruits
= 10 x 5
= 50 kg

Mass of guavas : Mass of passion fruits 
12 : 50 _(÷2)
6 : 25

Answer(s): (a) 80 kg; (b) 6 : 25