Three hours ago, a grocer started his day with some pomegranates and lemons in the ratio of 7 : 2. There were 80 lemons. Some of the pomegranates were bought by Mary. As a result, the number of pomegranates became
35 of the lemons.
- How many pomegranates did the grocer have left?
- How many pomegranates did the grocer have to buy in order to have an equal number of pomegranates and lemons?
|
Pomegranates |
Lemons |
Before |
7x5 = 35 u |
2x5 = 10 u |
Change |
- ? |
|
After |
3x2 = 6 u |
5x2 = 10 u |
(a)
The number of lemons remains unchanged. Make the number of lemons the same. LCM of 2 and 5 is 10.
10 u = 80
1 u = 80 ÷ 10 = 8
Number of pomegranates that the grocer had left
= 6 u
= 6 x 8
= 48
(b)
Number of pomegranates that the grocer had to buy to have an equal number of pomegranates and lemons
= 10 u - 6 u
= 4 u
= 4 x 8
= 32
Answer(s): (a) 48; (b) 32