Elyse spent $63 on some starfruits, oranges and pomegranates in the ratio of 2 : 4 : 1. The number of starfruits was ²₅ the number of oranges. The ratio of the number of pomegranates to the number of oranges was 5 : 2. The starfruits were sold at 4 for a dollar.

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

Amount spent
Starfruits	Oranges	Pomegranates	Total
2 u	4 u	1 u	7 u

Total amount spent on fruits
= 2 u + 4 u + 1 u
= 7 u

7 u = 63

1 u = 63 ÷ 7 = 9

Amount that Elyse spent on starfruits
= 2 u
= 2 x 9
= $18 

Total number of starfruits that Elyse bought
= 18 x 4
= 72

Number of fruits bought
Starfruits	Oranges	Pomegranates
2x2	5x2
	2x5	5x5
4 p	10 p	25 p

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

4 p = 72

1 p = 72 ÷ 4 = 18

Total number of fruits that Elyse bought
= 4 p + 10 p + 25 p
= 39 p
= 39 x 18
= 702

(b)
Total number of oranges that Elyse bought
= 10 p
= 10 x 18
= 180

Total amount that Elyse paid for the oranges
= 4 u
= 4 x 9
= $36

Price of each orange
= 36 ÷ 180
= $0.20 

Answer(s): (a) 702; (b) $0.20