Three hours ago, a grocer started his day with some lemons and pomegranates in the ratio of 5 : 3. There were 105 pomegranates. Some of the lemons were bought by Wendy. As a result, the number of lemons became
25 of the pomegranates.
- How many lemons did the grocer have left?
- How many lemons did the grocer have to buy in order to have an equal number of lemons and pomegranates?
|
Lemons |
Pomegranates |
Before |
5x5 = 25 u |
3x5 = 15 u |
Change |
- ? |
|
After |
2x3 = 6 u |
5x3 = 15 u |
(a)
The number of pomegranates remains unchanged. Make the number of pomegranates the same. LCM of 3 and 5 is 15.
15 u = 105
1 u = 105 ÷ 15 = 7
Number of lemons that the grocer had left
= 6 u
= 6 x 7
= 42
(b)
Number of lemons that the grocer had to buy to have an equal number of lemons and pomegranates
= 15 u - 6 u
= 9 u
= 9 x 7
= 63
Answer(s): (a) 42; (b) 63