Tammy spent $24 on some chikoos, lemons and mangosteens in the ratio of 3 : 2 : 1. The number of chikoos was
35 the number of lemons. The ratio of the number of mangosteens to the number of lemons was 2 : 1. The chikoos were sold at 2 for a dollar.
- How many fruits did she buy altogether?
- How much did each lemon cost?
Amount spent |
Chikoos |
Lemons |
Mangosteens |
Total |
3 u |
2 u |
1 u |
6 u |
Total amount spent on fruits
= 3 u + 2 u + 1 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
Amount that Tammy spent on chikoos
= 3 u
= 3 x 4
= $12
Total number of chikoos that Tammy bought
= 12 x 2
= 24
Number of fruits bought |
Chikoos |
Lemons |
Mangosteens |
3x1 |
5x1 |
|
|
1x5 |
2x5 |
3 p |
5 p |
10 p |
The number of lemons bought is repeated. Make the number of lemons the same. LCM of 1 and 5 is 5.
3 p = 24
1 p = 24 ÷ 3 = 8
Total number of fruits that Tammy bought
= 3 p + 5 p + 10 p
= 18 p
= 18 x 8
= 144
(b)
Total number of lemons that Tammy bought
= 5 p
= 5 x 8
= 40
Total amount that Tammy paid for the lemons
= 2 u
= 2 x 4
= $8
Price of each lemon
= 8 ÷ 40
= $0.20
Answer(s): (a) 144; (b) $0.20