Kimberly spent $45 on some passion fruits, apples and starfruits in the ratio of 2 : 3 : 4. The number of passion fruits was ²₃ the number of apples. The ratio of the number of starfruits to the number of apples was 5 : 2. The passion fruits were sold at 4 for a dollar.

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

Amount spent
Passion Fruits	Apples	Starfruits	Total
2 u	3 u	4 u	9 u

Total amount spent on fruits
= 2 u + 3 u + 4 u
= 9 u

9 u = 45

1 u = 45 ÷ 9 = 5

Amount that Kimberly spent on passion fruits
= 2 u
= 2 x 5
= $10 

Total number of passion fruits that Kimberly bought
= 10 x 4
= 40

Number of fruits bought
Passion Fruits	Apples	Starfruits
2x2	3x2
	2x3	5x3
4 p	6 p	15 p

The number of apples bought is repeated.  Make the number of apples the same.  LCM of 2 and 3 is 6.

4 p = 40

1 p = 40 ÷ 4 = 10

Total number of fruits that Kimberly bought
= 4 p + 6 p + 15 p
= 25 p
= 25 x 10
= 250

(b)
Total number of apples that Kimberly bought
= 6 p
= 6 x 10
= 60

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

Price of each apple
= 15 ÷ 60
= $0.25 

Answer(s): (a) 250; (b) $0.25