Gem spent $99 on some apples, lemons and mangosteens in the ratio of 2 : 4 : 5. The number of apples was ⁴₅ the number of lemons. The ratio of the number of mangosteens to the number of lemons was 4 : 3. The apples were sold at 2 for a dollar.

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

Amount spent
Apples	Lemons	Mangosteens	Total
2 u	4 u	5 u	11 u

Total amount spent on fruits
= 2 u + 4 u + 5 u
= 11 u

11 u = 99

1 u = 99 ÷ 11 = 9

Amount that Gem spent on apples
= 2 u
= 2 x 9
= $18 

Total number of apples that Gem bought
= 18 x 2
= 36

Number of fruits bought
Apples	Lemons	Mangosteens
4x3	5x3
	3x5	4x5
12 p	15 p	20 p

The number of lemons bought is repeated.  Make the number of lemons the same.  LCM of 3 and 5 is 15.

12 p = 36

1 p = 36 ÷ 12 = 3

Total number of fruits that Gem bought
= 12 p + 15 p + 20 p
= 47 p
= 47 x 3
= 141

(b)
Total number of lemons that Gem bought
= 15 p
= 15 x 3
= 45

Total amount that Gem paid for the lemons
= 4 u
= 4 x 9
= $36

Price of each lemon
= 36 ÷ 45
= $0.80 

Answer(s): (a) 141; (b) $0.80