Jade spent $55 on some mangosteens, pomegranates and lemons in the ratio of 5 : 4 : 2. The number of mangosteens was
14 the number of pomegranates. The ratio of the number of lemons to the number of pomegranates was 6 : 5. The mangosteens were sold at 2 for a dollar.
- How many fruits did she buy altogether?
- How much did each pomegranate cost?
| Amount spent |
| Mangosteens |
Pomegranates |
Lemons |
Total |
| 5 u |
4 u |
2 u |
11 u |
Total amount spent on fruits
= 5 u + 4 u + 2 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Amount that Jade spent on mangosteens
= 5 u
= 5 x 5
= $25
Total number of mangosteens that Jade bought
= 25 x 2
= 50
| Number of fruits bought |
| Mangosteens |
Pomegranates |
Lemons |
| 1x5 |
4x5 |
|
| |
5x4 |
6x4 |
| 5 p |
20 p |
24 p |
The number of pomegranates bought is repeated. Make the number of pomegranates the same. LCM of 5 and 4 is 20.
5 p = 50
1 p = 50 ÷ 5 = 10
Total number of fruits that Jade bought
= 5 p + 20 p + 24 p
= 49 p
= 49 x 10
= 490
(b)
Total number of pomegranates that Jade bought
= 20 p
= 20 x 10
= 200
Total amount that Jade paid for the pomegranates
= 4 u
= 4 x 5
= $20
Price of each pomegranate
= 20 ÷ 200
= $0.10
Answer(s): (a) 490; (b) $0.10
