Jaslyn spent $18 on some kiwis, pears and mangosteens in the ratio of 2 : 3 : 4. The number of kiwis was ⁴₅ the number of pears. The ratio of the number of mangosteens to the number of pears was 2 : 1. The kiwis were sold at 2 for a dollar.

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

Amount spent
Kiwis	Pears	Mangosteens	Total
2 u	3 u	4 u	9 u

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

9 u = 18

1 u = 18 ÷ 9 = 2

Amount that Jaslyn spent on kiwis
= 2 u
= 2 x 2
= $4 

Total number of kiwis that Jaslyn bought
= 4 x 2
= 8

Number of fruits bought
Kiwis	Pears	Mangosteens
4x1	5x1
	1x5	2x5
4 p	5 p	10 p

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

4 p = 8

1 p = 8 ÷ 4 = 2

Total number of fruits that Jaslyn bought
= 4 p + 5 p + 10 p
= 19 p
= 19 x 2
= 38

(b)
Total number of pears that Jaslyn bought
= 5 p
= 5 x 2
= 10

Total amount that Jaslyn paid for the pears
= 3 u
= 3 x 2
= $6

Price of each pear
= 6 ÷ 10
= $0.60 

Answer(s): (a) 38; (b) $0.60