Penelope spent $27 on some mangosteens, apples and pomegranates in the ratio of 2 : 3 : 4. The number of mangosteens was
25 the number of apples. The ratio of the number of pomegranates to the number of apples was 2 : 1. The mangosteens were sold at 4 for a dollar.
- How many fruits did she buy altogether?
- How much did each apple cost?
Amount spent |
Mangosteens |
Apples |
Pomegranates |
Total |
2 u |
3 u |
4 u |
9 u |
Total amount spent on fruits
= 2 u + 3 u + 4 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Amount that Penelope spent on mangosteens
= 2 u
= 2 x 3
= $6
Total number of mangosteens that Penelope bought
= 6 x 4
= 24
Number of fruits bought |
Mangosteens |
Apples |
Pomegranates |
2x1 |
5x1 |
|
|
1x5 |
2x5 |
2 p |
5 p |
10 p |
The number of apples bought is repeated. Make the number of apples the same. LCM of 1 and 5 is 5.
2 p = 24
1 p = 24 ÷ 2 = 12
Total number of fruits that Penelope bought
= 2 p + 5 p + 10 p
= 17 p
= 17 x 12
= 204
(b)
Total number of apples that Penelope bought
= 5 p
= 5 x 12
= 60
Total amount that Penelope paid for the apples
= 3 u
= 3 x 3
= $9
Price of each apple
= 9 ÷ 60
= $0.15
Answer(s): (a) 204; (b) $0.15