Two hours ago, a fruit seller started his day with some kiwis and persimmons in the ratio of 8 : 3. There were 165 persimmons. Some of the kiwis were bought by Emily. As a result, the number of kiwis became
35 of the persimmons.
- How many kiwis did the fruit seller have at first?
- How many persimmons did the fruit seller have to sell in order to have an equal number of kiwis and persimmons?
|
Kiwis |
Persimmons |
Before |
8x5 = 40 u |
3x5 = 15 u |
Change |
- ? |
|
After |
3x3 = 9 u |
5x3 = 15 u |
(a)
The number of persimmons remains unchanged. Make the number of persimmons the same. LCM of 3 and 5 is 15.
15 u = 165
1 u = 165 ÷ 15 = 11
Number of kiwis that the fruit seller had at first
= 40 u
= 40 x 11
= 440
(b)
Number of persimmons that the fruit seller had to sell to have an equal number of kiwis and persimmons
= 15 u - 9 u
= 6 u
= 6 x 11
= 66
Answer(s): (a) 440; (b) 66