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

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

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

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

10 u = 90

1 u = 90 ÷ 10 = 9

Amount that Diana spent on pears
= 3 u
= 3 x 9
= $27 

Total number of pears that Diana bought
= 27 x 2
= 54

Number of fruits bought
Pears	Lemons	Oranges
3x2	5x2
	2x5	3x5
6 p	10 p	15 p

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

6 p = 54

1 p = 54 ÷ 6 = 9

Total number of fruits that Diana bought
= 6 p + 10 p + 15 p
= 31 p
= 31 x 9
= 279

(b)
Total number of lemons that Diana bought
= 10 p
= 10 x 9
= 90

Total amount that Diana paid for the lemons
= 2 u
= 2 x 9
= $18

Price of each lemon
= 18 ÷ 90
= $0.20 

Answer(s): (a) 279; (b) $0.20