Five hours ago, a stallholder started his day with some pomegranates and lemons in the ratio of 8 : 5. There were 200 lemons. Some of the pomegranates were bought by Eva. As a result, the number of pomegranates became
34 of the lemons.
- How many pomegranates did the stallholder have left?
- How many pomegranates did the stallholder have to buy in order to have an equal number of pomegranates and lemons?
|
Pomegranates |
Lemons |
Before |
8x4 = 32 u |
5x4 = 20 u |
Change |
- ? |
|
After |
3x5 = 15 u |
4x5 = 20 u |
(a)
The number of lemons remains unchanged. Make the number of lemons the same. LCM of 5 and 4 is 20.
20 u = 200
1 u = 200 ÷ 20 = 10
Number of pomegranates that the stallholder had left
= 15 u
= 15 x 10
= 150
(b)
Number of pomegranates that the stallholder had to buy to have an equal number of pomegranates and lemons
= 20 u - 15 u
= 5 u
= 5 x 10
= 50
Answer(s): (a) 150; (b) 50