Yoko spent $36 on some apples, mangosteens and pears in the ratio of 4 : 5 : 3. The number of apples was ³₅ the number of mangosteens. The ratio of the number of pears to the number of mangosteens was 3 : 1. The apples were sold at 5 for a dollar.

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

Amount spent
Apples	Mangosteens	Pears	Total
4 u	5 u	3 u	12 u

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

12 u = 36

1 u = 36 ÷ 12 = 3

Amount that Yoko spent on apples
= 4 u
= 4 x 3
= $12 

Total number of apples that Yoko bought
= 12 x 5
= 60

Number of fruits bought
Apples	Mangosteens	Pears
3x1	5x1
	1x5	3x5
3 p	5 p	15 p

The number of mangosteens bought is repeated.  Make the number of mangosteens the same.  LCM of 1 and 5 is 5.

3 p = 60

1 p = 60 ÷ 3 = 20

Total number of fruits that Yoko bought
= 3 p + 5 p + 15 p
= 23 p
= 23 x 20
= 460

(b)
Total number of mangosteens that Yoko bought
= 5 p
= 5 x 20
= 100

Total amount that Yoko paid for the mangosteens
= 5 u
= 5 x 3
= $15

Price of each mangosteen
= 15 ÷ 100
= $0.15 

Answer(s): (a) 460; (b) $0.15