Wendy spent $60 on some starfruits, mangosteens and lemons in the ratio of 5 : 2 : 3. The number of starfruits was
34 the number of mangosteens. The ratio of the number of lemons to the number of mangosteens was 2 : 1. The starfruits were sold at 2 for a dollar.
- How many fruits did she buy altogether?
- How much did each mangosteen cost?
| Amount spent |
| Starfruits |
Mangosteens |
Lemons |
Total |
| 5 u |
2 u |
3 u |
10 u |
Total amount spent on fruits
= 5 u + 2 u + 3 u
= 10 u
10 u = 60
1 u = 60 ÷ 10 = 6
Amount that Wendy spent on starfruits
= 5 u
= 5 x 6
= $30
Total number of starfruits that Wendy bought
= 30 x 2
= 60
| Number of fruits bought |
| Starfruits |
Mangosteens |
Lemons |
| 3x1 |
4x1 |
|
| |
1x4 |
2x4 |
| 3 p |
4 p |
8 p |
The number of mangosteens bought is repeated. Make the number of mangosteens the same. LCM of 1 and 4 is 4.
3 p = 60
1 p = 60 ÷ 3 = 20
Total number of fruits that Wendy bought
= 3 p + 4 p + 8 p
= 15 p
= 15 x 20
= 300
(b)
Total number of mangosteens that Wendy bought
= 4 p
= 4 x 20
= 80
Total amount that Wendy paid for the mangosteens
= 2 u
= 2 x 6
= $12
Price of each mangosteen
= 12 ÷ 80
= $0.15
Answer(s): (a) 300; (b) $0.15
