Pamela spent $56 on some chikoos, mangoes and lemons in the ratio of 3 : 4 : 1. The number of chikoos was
34 the number of mangoes. The ratio of the number of lemons to the number of mangoes was 3 : 1. The chikoos were sold at 2 for a dollar.
- How many fruits did she buy altogether?
- How much did each mango cost?
| Amount spent |
| Chikoos |
Mangoes |
Lemons |
Total |
| 3 u |
4 u |
1 u |
8 u |
Total amount spent on fruits
= 3 u + 4 u + 1 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Amount that Pamela spent on chikoos
= 3 u
= 3 x 7
= $21
Total number of chikoos that Pamela bought
= 21 x 2
= 42
| Number of fruits bought |
| Chikoos |
Mangoes |
Lemons |
| 3x1 |
4x1 |
|
| |
1x4 |
3x4 |
| 3 p |
4 p |
12 p |
The number of mangoes bought is repeated. Make the number of mangoes the same. LCM of 1 and 4 is 4.
3 p = 42
1 p = 42 ÷ 3 = 14
Total number of fruits that Pamela bought
= 3 p + 4 p + 12 p
= 19 p
= 19 x 14
= 266
(b)
Total number of mangoes that Pamela bought
= 4 p
= 4 x 14
= 56
Total amount that Pamela paid for the mangoes
= 4 u
= 4 x 7
= $28
Price of each mango
= 28 ÷ 56
= $0.50
Answer(s): (a) 266; (b) $0.50
