Three hours ago, a fruit seller started his day with some passion fruits and kiwis in the ratio of 5 : 4. There were 120 kiwis. Some of the passion fruits were bought by Opal. As a result, the number of passion fruits became
35 of the kiwis.
- How many passion fruits did the fruit seller have left?
- How many passion fruits did the fruit seller have to buy in order to have an equal number of passion fruits and kiwis?
|
Passion Fruits |
Kiwis |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
3x4 = 12 u |
5x4 = 20 u |
(a)
The number of kiwis remains unchanged. Make the number of kiwis the same. LCM of 4 and 5 is 20.
20 u = 120
1 u = 120 ÷ 20 = 6
Number of passion fruits that the fruit seller had left
= 12 u
= 12 x 6
= 72
(b)
Number of passion fruits that the fruit seller had to buy to have an equal number of passion fruits and kiwis
= 20 u - 12 u
= 8 u
= 8 x 6
= 48
Answer(s): (a) 72; (b) 48