Yoko spent $81 on some pears, starfruits and passion fruits in the ratio of 2 : 3 : 4. The number of pears was ¹₃ the number of starfruits. The ratio of the number of passion fruits to the number of starfruits was 5 : 4. The pears were sold at 2 for a dollar.

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

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

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

9 u = 81

1 u = 81 ÷ 9 = 9

Amount that Yoko spent on pears
= 2 u
= 2 x 9
= $18 

Total number of pears that Yoko bought
= 18 x 2
= 36

Number of fruits bought
Pears	Starfruits	Passion Fruits
1x4	3x4
	4x3	5x3
4 p	12 p	15 p

The number of starfruits bought is repeated.  Make the number of starfruits the same.  LCM of 4 and 3 is 12.

4 p = 36

1 p = 36 ÷ 4 = 9

Total number of fruits that Yoko bought
= 4 p + 12 p + 15 p
= 31 p
= 31 x 9
= 279

(b)
Total number of starfruits that Yoko bought
= 12 p
= 12 x 9
= 108

Total amount that Yoko paid for the starfruits
= 3 u
= 3 x 9
= $27

Price of each starfruit
= 27 ÷ 108
= $0.25 

Answer(s): (a) 279; (b) $0.25