Zara spent $90 on some lemons, pears and mangoes in the ratio of 3 : 5 : 2. The number of lemons was ³₅ the number of pears. The ratio of the number of mangoes to the number of pears was 2 : 1. The lemons were sold at 2 for a dollar.

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

Amount spent
Lemons	Pears	Mangoes	Total
3 u	5 u	2 u	10 u

Total amount spent on fruits
= 3 u + 5 u + 2 u
= 10 u

10 u = 90

1 u = 90 ÷ 10 = 9

Amount that Zara spent on lemons
= 3 u
= 3 x 9
= $27 

Total number of lemons that Zara bought
= 27 x 2
= 54

Number of fruits bought
Lemons	Pears	Mangoes
3x1	5x1
	1x5	2x5
3 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.

3 p = 54

1 p = 54 ÷ 3 = 18

Total number of fruits that Zara bought
= 3 p + 5 p + 10 p
= 18 p
= 18 x 18
= 324

(b)
Total number of pears that Zara bought
= 5 p
= 5 x 18
= 90

Total amount that Zara paid for the pears
= 5 u
= 5 x 9
= $45

Price of each pear
= 45 ÷ 90
= $0.50 

Answer(s): (a) 324; (b) $0.50