Irene spent $72 on some kiwis, persimmons and pomegranates in the ratio of 6 : 4 : 2. The number of kiwis was
35 the number of persimmons. The ratio of the number of pomegranates to the number of persimmons was 3 : 2. The kiwis were sold at 2 for a dollar.
- How many fruits did she buy altogether?
- How much did each persimmon cost?
Amount spent |
Kiwis |
Persimmons |
Pomegranates |
Total |
6 u |
4 u |
2 u |
12 u |
Total amount spent on fruits
= 6 u + 4 u + 2 u
= 12 u
12 u = 72
1 u = 72 ÷ 12 = 6
Amount that Irene spent on kiwis
= 6 u
= 6 x 6
= $36
Total number of kiwis that Irene bought
= 36 x 2
= 72
Number of fruits bought |
Kiwis |
Persimmons |
Pomegranates |
3x2 |
5x2 |
|
|
2x5 |
3x5 |
6 p |
10 p |
15 p |
The number of persimmons bought is repeated. Make the number of persimmons the same. LCM of 2 and 5 is 10.
6 p = 72
1 p = 72 ÷ 6 = 12
Total number of fruits that Irene bought
= 6 p + 10 p + 15 p
= 31 p
= 31 x 12
= 372
(b)
Total number of persimmons that Irene bought
= 10 p
= 10 x 12
= 120
Total amount that Irene paid for the persimmons
= 4 u
= 4 x 6
= $24
Price of each persimmon
= 24 ÷ 120
= $0.20
Answer(s): (a) 372; (b) $0.20