Eight hours ago, a stallholder started his day with some apples and kiwis in the ratio of 5 : 3. There were 45 kiwis. Some of the apples were bought by Olivia. As a result, the number of apples became
45 of the kiwis.
- How many apples did the stallholder have at first?
- How many kiwis did the stallholder have to sell in order to have an equal number of apples and kiwis?
|
Apples |
Kiwis |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
4x3 = 12 u |
5x3 = 15 u |
(a)
The number of kiwis remains unchanged. Make the number of kiwis the same. LCM of 3 and 5 is 15.
15 u = 45
1 u = 45 ÷ 15 = 3
Number of apples that the stallholder had at first
= 25 u
= 25 x 3
= 75
(b)
Number of kiwis that the stallholder had to sell to have an equal number of apples and kiwis
= 15 u - 12 u
= 3 u
= 3 x 3
= 9
Answer(s): (a) 75; (b) 9