Six hours ago, a stallholder started his day with some apples and lemons in the ratio of 7 : 4. There were 200 lemons. Some of the apples were bought by Esther. As a result, the number of apples became
35 of the lemons.
- How many apples did the stallholder have at first?
- How many lemons did the stallholder have to sell in order to have an equal number of apples and lemons?
|
Apples |
Lemons |
Before |
7x5 = 35 u |
4x5 = 20 u |
Change |
- ? |
|
After |
3x4 = 12 u |
5x4 = 20 u |
(a)
The number of lemons remains unchanged. Make the number of lemons the same. LCM of 4 and 5 is 20.
20 u = 200
1 u = 200 ÷ 20 = 10
Number of apples that the stallholder had at first
= 35 u
= 35 x 10
= 350
(b)
Number of lemons that the stallholder had to sell to have an equal number of apples and lemons
= 20 u - 12 u
= 8 u
= 8 x 10
= 80
Answer(s): (a) 350; (b) 80