Fiona spent $16 on some pears, oranges and starfruits in the ratio of 5 : 2 : 1. The number of pears was
34 the number of oranges. The ratio of the number of starfruits to the number of oranges was 5 : 2. The pears were sold at 3 for a dollar.
- How many fruits did she buy altogether?
- How much did each orange cost?
| Amount spent |
| Pears |
Oranges |
Starfruits |
Total |
| 5 u |
2 u |
1 u |
8 u |
Total amount spent on fruits
= 5 u + 2 u + 1 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Amount that Fiona spent on pears
= 5 u
= 5 x 2
= $10
Total number of pears that Fiona bought
= 10 x 3
= 30
| Number of fruits bought |
| Pears |
Oranges |
Starfruits |
| 3x1 |
4x1 |
|
| |
2x2 |
5x2 |
| 3 p |
4 p |
10 p |
The number of oranges bought is repeated. Make the number of oranges the same. LCM of 2 and 4 is 4.
3 p = 30
1 p = 30 ÷ 3 = 10
Total number of fruits that Fiona bought
= 3 p + 4 p + 10 p
= 17 p
= 17 x 10
= 170
(b)
Total number of oranges that Fiona bought
= 4 p
= 4 x 10
= 40
Total amount that Fiona paid for the oranges
= 2 u
= 2 x 2
= $4
Price of each orange
= 4 ÷ 40
= $0.10
Answer(s): (a) 170; (b) $0.10
