Eight hours ago, a grocer started his day with some kiwis and passion fruits in the ratio of 5 : 4. There were 100 passion fruits. Some of the kiwis were bought by Sarah. As a result, the number of kiwis became
25 of the passion fruits.
- How many kiwis did the grocer have left?
- How many kiwis did the grocer have to buy in order to have an equal number of kiwis and passion fruits?
|
Kiwis |
Passion Fruits |
Before |
5x5 = 25 u |
4x5 = 20 u |
Change |
- ? |
|
After |
2x4 = 8 u |
5x4 = 20 u |
(a)
The number of passion fruits remains unchanged. Make the number of passion fruits the same. LCM of 4 and 5 is 20.
20 u = 100
1 u = 100 ÷ 20 = 5
Number of kiwis that the grocer had left
= 8 u
= 8 x 5
= 40
(b)
Number of kiwis that the grocer had to buy to have an equal number of kiwis and passion fruits
= 20 u - 8 u
= 12 u
= 12 x 5
= 60
Answer(s): (a) 40; (b) 60