Wendy spent $99 on some pears, pomegranates and chikoos in the ratio of 4 : 2 : 5. The number of pears was
25 the number of pomegranates. The ratio of the number of chikoos to the number of pomegranates was 3 : 2. The pears were sold at 2 for a dollar.
- How many fruits did she buy altogether?
- How much did each pomegranate cost?
Amount spent |
Pears |
Pomegranates |
Chikoos |
Total |
4 u |
2 u |
5 u |
11 u |
Total amount spent on fruits
= 4 u + 2 u + 5 u
= 11 u
11 u = 99
1 u = 99 ÷ 11 = 9
Amount that Wendy spent on pears
= 4 u
= 4 x 9
= $36
Total number of pears that Wendy bought
= 36 x 2
= 72
Number of fruits bought |
Pears |
Pomegranates |
Chikoos |
2x2 |
5x2 |
|
|
2x5 |
3x5 |
4 p |
10 p |
15 p |
The number of pomegranates bought is repeated. Make the number of pomegranates the same. LCM of 2 and 5 is 10.
4 p = 72
1 p = 72 ÷ 4 = 18
Total number of fruits that Wendy bought
= 4 p + 10 p + 15 p
= 29 p
= 29 x 18
= 522
(b)
Total number of pomegranates that Wendy bought
= 10 p
= 10 x 18
= 180
Total amount that Wendy paid for the pomegranates
= 2 u
= 2 x 9
= $18
Price of each pomegranate
= 18 ÷ 180
= $0.10
Answer(s): (a) 522; (b) $0.10