Betty spent $18 on some mangosteens, pomegranates and chikoos in the ratio of 2 : 3 : 4. The number of mangosteens was
23 the number of pomegranates. The ratio of the number of chikoos to the number of pomegranates was 5 : 4. The mangosteens were sold at 4 for a dollar.
- How many fruits did she buy altogether?
- How much did each pomegranate cost?
Amount spent |
Mangosteens |
Pomegranates |
Chikoos |
Total |
2 u |
3 u |
4 u |
9 u |
Total amount spent on fruits
= 2 u + 3 u + 4 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Amount that Betty spent on mangosteens
= 2 u
= 2 x 2
= $4
Total number of mangosteens that Betty bought
= 4 x 4
= 16
Number of fruits bought |
Mangosteens |
Pomegranates |
Chikoos |
2x4 |
3x4 |
|
|
4x3 |
5x3 |
8 p |
12 p |
15 p |
The number of pomegranates bought is repeated. Make the number of pomegranates the same. LCM of 4 and 3 is 12.
8 p = 16
1 p = 16 ÷ 8 = 2
Total number of fruits that Betty bought
= 8 p + 12 p + 15 p
= 35 p
= 35 x 2
= 70
(b)
Total number of pomegranates that Betty bought
= 12 p
= 12 x 2
= 24
Total amount that Betty paid for the pomegranates
= 3 u
= 3 x 2
= $6
Price of each pomegranate
= 6 ÷ 24
= $0.25
Answer(s): (a) 70; (b) $0.25