Mary spent $36 on some kiwis, apples and passion fruits in the ratio of 3 : 5 : 4. The number of kiwis was ³₅ the number of apples. The ratio of the number of passion fruits to the number of apples was 3 : 2. The kiwis were sold at 2 for a dollar.

1. How many fruits did she buy altogether?
2. How much did each apple cost?

Amount spent
Kiwis	Apples	Passion Fruits	Total
3 u	5 u	4 u	12 u

Total amount spent on fruits
= 3 u + 5 u + 4 u
= 12 u

12 u = 36

1 u = 36 ÷ 12 = 3

Amount that Mary spent on kiwis
= 3 u
= 3 x 3
= $9 

Total number of kiwis that Mary bought
= 9 x 2
= 18

Number of fruits bought
Kiwis	Apples	Passion Fruits
3x2	5x2
	2x5	3x5
6 p	10 p	15 p

The number of apples bought is repeated.  Make the number of apples the same.  LCM of 2 and 5 is 10.

6 p = 18

1 p = 18 ÷ 6 = 3

Total number of fruits that Mary bought
= 6 p + 10 p + 15 p
= 31 p
= 31 x 3
= 93

(b)
Total number of apples that Mary bought
= 10 p
= 10 x 3
= 30

Total amount that Mary paid for the apples
= 5 u
= 5 x 3
= $15

Price of each apple
= 15 ÷ 30
= $0.50 

Answer(s): (a) 93; (b) $0.50