Eight hours ago, a fruit seller started his day with some kiwis and starfruits in the ratio of 8 : 5. There were 220 starfruits. Some of the kiwis were bought by Gwen. As a result, the number of kiwis became
34 of the starfruits.
- How many kiwis did the fruit seller have left?
- How many kiwis did the fruit seller have to buy in order to have an equal number of kiwis and starfruits?
|
Kiwis |
Starfruits |
Before |
8x4 = 32 u |
5x4 = 20 u |
Change |
- ? |
|
After |
3x5 = 15 u |
4x5 = 20 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 5 and 4 is 20.
20 u = 220
1 u = 220 ÷ 20 = 11
Number of kiwis that the fruit seller had left
= 15 u
= 15 x 11
= 165
(b)
Number of kiwis that the fruit seller had to buy to have an equal number of kiwis and starfruits
= 20 u - 15 u
= 5 u
= 5 x 11
= 55
Answer(s): (a) 165; (b) 55