Wendy spent $70 on some pomegranates, chikoos and apples in the ratio of 2 : 5 : 3. The number of pomegranates was
35 the number of chikoos. The ratio of the number of apples to the number of chikoos was 4 : 1. The pomegranates were sold at 3 for a dollar.
- How many fruits did she buy altogether?
- How much did each chikoo cost?
| Amount spent |
| Pomegranates |
Chikoos |
Apples |
Total |
| 2 u |
5 u |
3 u |
10 u |
Total amount spent on fruits
= 2 u + 5 u + 3 u
= 10 u
10 u = 70
1 u = 70 ÷ 10 = 7
Amount that Wendy spent on pomegranates
= 2 u
= 2 x 7
= $14
Total number of pomegranates that Wendy bought
= 14 x 3
= 42
| Number of fruits bought |
| Pomegranates |
Chikoos |
Apples |
| 3x1 |
5x1 |
|
| |
1x5 |
4x5 |
| 3 p |
5 p |
20 p |
The number of chikoos bought is repeated. Make the number of chikoos the same. LCM of 1 and 5 is 5.
3 p = 42
1 p = 42 ÷ 3 = 14
Total number of fruits that Wendy bought
= 3 p + 5 p + 20 p
= 28 p
= 28 x 14
= 392
(b)
Total number of chikoos that Wendy bought
= 5 p
= 5 x 14
= 70
Total amount that Wendy paid for the chikoos
= 5 u
= 5 x 7
= $35
Price of each chikoo
= 35 ÷ 70
= $0.50
Answer(s): (a) 392; (b) $0.50
