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

Fruit	Price
Guavas	2 kg for $9
Mangoes	4 kg for $6

1. Andy bought an equal mass of guavas and mangoes and spent $84 more on guavas than on mangoes. What was the total mass of fruits that Andy bought?
2. Emily spent an equal amount of money on guavas and mangoes. In terms of their masses, what was the ratio of guavas to the ratio of mangoes Emily bought?

(a)
LCM of 2 and 4 = 4

One set = 4 kg of guavas and 4 kg of mangoes

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

Number of sets of 4 kg of mangoes
= 4 ÷ 4
= 1

Difference in price of guavas and mangoes in one set
= 2 x 9 - 1 x 6
= 18 - 6
= $12

Number of sets
= 84 ÷ 12
= 7

Mass of guavas and mangoes in one set
= 4 + 4
= 8 kg

Total mass of fruits bought
= 7 x 8
= 56 kg

(b)
LCM of 9 and 6 = 18

Number of sets of 2 kg of guavas to be bought with $18
= 18 ÷ 9
= 2

Mass of 2 sets of 2 kg of guavas
= 2 x 2
= 4 kg

Number of sets of 4 kg of guavas to be bought with $18
= 18 ÷ 6
= 3

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

Mass of guavas : Mass of mangoes 
4 : 12 _(÷4)
1 : 3

Answer(s): (a) 56 kg; (b) 1 : 3