Four hours ago, a grocer started his day with some lemons and apples in the ratio of 7 : 3. There were 120 apples. Some of the lemons were bought by Xylia. As a result, the number of lemons became
35 of the apples.
- 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 apples?
|
Lemons |
Apples |
Before |
7x5 = 35 u |
3x5 = 15 u |
Change |
- ? |
|
After |
3x3 = 9 u |
5x3 = 15 u |
(a)
The number of apples remains unchanged. Make the number of apples the same. LCM of 3 and 5 is 15.
15 u = 120
1 u = 120 ÷ 15 = 8
Number of lemons that the grocer had left
= 9 u
= 9 x 8
= 72
(b)
Number of lemons that the grocer had to buy to have an equal number of lemons and apples
= 15 u - 9 u
= 6 u
= 6 x 8
= 48
Answer(s): (a) 72; (b) 48