Kimberly spent $44 on some starfruits, kiwis and chikoos in the ratio of 4 : 2 : 5. The number of starfruits was
15 the number of kiwis. The ratio of the number of chikoos to the number of kiwis was 5 : 4. The starfruits were sold at 2 for a dollar.
- How many fruits did she buy altogether?
- How much did each kiwi cost?
Amount spent |
Starfruits |
Kiwis |
Chikoos |
Total |
4 u |
2 u |
5 u |
11 u |
Total amount spent on fruits
= 4 u + 2 u + 5 u
= 11 u
11 u = 44
1 u = 44 ÷ 11 = 4
Amount that Kimberly spent on starfruits
= 4 u
= 4 x 4
= $16
Total number of starfruits that Kimberly bought
= 16 x 2
= 32
Number of fruits bought |
Starfruits |
Kiwis |
Chikoos |
1x4 |
5x4 |
|
|
4x5 |
5x5 |
4 p |
20 p |
25 p |
The number of kiwis bought is repeated. Make the number of kiwis the same. LCM of 4 and 5 is 20.
4 p = 32
1 p = 32 ÷ 4 = 8
Total number of fruits that Kimberly bought
= 4 p + 20 p + 25 p
= 49 p
= 49 x 8
= 392
(b)
Total number of kiwis that Kimberly bought
= 20 p
= 20 x 8
= 160
Total amount that Kimberly paid for the kiwis
= 2 u
= 2 x 4
= $8
Price of each kiwi
= 8 ÷ 160
= $0.05
Answer(s): (a) 392; (b) $0.05