Xandra spent $12 on some lemons, pomegranates and starfruits in the ratio of 2 : 3 : 1. The number of lemons was
35 the number of pomegranates. The ratio of the number of starfruits to the number of pomegranates was 2 : 1. The lemons were sold at 3 for a dollar.
- How many fruits did she buy altogether?
- How much did each pomegranate cost?
Amount spent |
Lemons |
Pomegranates |
Starfruits |
Total |
2 u |
3 u |
1 u |
6 u |
Total amount spent on fruits
= 2 u + 3 u + 1 u
= 6 u
6 u = 12
1 u = 12 ÷ 6 = 2
Amount that Xandra spent on lemons
= 2 u
= 2 x 2
= $4
Total number of lemons that Xandra bought
= 4 x 3
= 12
Number of fruits bought |
Lemons |
Pomegranates |
Starfruits |
3x1 |
5x1 |
|
|
1x5 |
2x5 |
3 p |
5 p |
10 p |
The number of pomegranates bought is repeated. Make the number of pomegranates the same. LCM of 1 and 5 is 5.
3 p = 12
1 p = 12 ÷ 3 = 4
Total number of fruits that Xandra bought
= 3 p + 5 p + 10 p
= 18 p
= 18 x 4
= 72
(b)
Total number of pomegranates that Xandra bought
= 5 p
= 5 x 4
= 20
Total amount that Xandra paid for the pomegranates
= 3 u
= 3 x 2
= $6
Price of each pomegranate
= 6 ÷ 20
= $0.30
Answer(s): (a) 72; (b) $0.30