Two hours ago, a stallholder started his day with some kiwis and starfruits in the ratio of 5 : 3. There were 120 starfruits. Some of the kiwis were bought by Min. As a result, the number of kiwis became
45 of the starfruits.
- How many kiwis did the stallholder have left?
- How many kiwis did the stallholder have to buy in order to have an equal number of kiwis and starfruits?
|
Kiwis |
Starfruits |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
4x3 = 12 u |
5x3 = 15 u |
(a)
The number of starfruits remains unchanged. Make the number of starfruits the same. LCM of 3 and 5 is 15.
15 u = 120
1 u = 120 ÷ 15 = 8
Number of kiwis that the stallholder had left
= 12 u
= 12 x 8
= 96
(b)
Number of kiwis that the stallholder had to buy to have an equal number of kiwis and starfruits
= 15 u - 12 u
= 3 u
= 3 x 8
= 24
Answer(s): (a) 96; (b) 24