Yoko spent $22 on some apples, persimmons and pomegranates in the ratio of 4 : 2 : 5. The number of apples was
35 the number of persimmons. The ratio of the number of pomegranates to the number of persimmons was 2 : 1. The apples were sold at 3 for a dollar.
- How many fruits did she buy altogether?
- How much did each persimmon cost?
Amount spent |
Apples |
Persimmons |
Pomegranates |
Total |
4 u |
2 u |
5 u |
11 u |
Total amount spent on fruits
= 4 u + 2 u + 5 u
= 11 u
11 u = 22
1 u = 22 ÷ 11 = 2
Amount that Yoko spent on apples
= 4 u
= 4 x 2
= $8
Total number of apples that Yoko bought
= 8 x 3
= 24
Number of fruits bought |
Apples |
Persimmons |
Pomegranates |
3x1 |
5x1 |
|
|
1x5 |
2x5 |
3 p |
5 p |
10 p |
The number of persimmons bought is repeated. Make the number of persimmons the same. LCM of 1 and 5 is 5.
3 p = 24
1 p = 24 ÷ 3 = 8
Total number of fruits that Yoko bought
= 3 p + 5 p + 10 p
= 18 p
= 18 x 8
= 144
(b)
Total number of persimmons that Yoko bought
= 5 p
= 5 x 8
= 40
Total amount that Yoko paid for the persimmons
= 2 u
= 2 x 2
= $4
Price of each persimmon
= 4 ÷ 40
= $0.10
Answer(s): (a) 144; (b) $0.10