Seven hours ago, a grocer started his day with some apples and lemons in the ratio of 8 : 3. There were 120 lemons. Some of the apples were bought by Vanessa. As a result, the number of apples became
45 of the lemons.
- How many apples did the grocer have at first?
- How many lemons did the grocer have to sell in order to have an equal number of apples and lemons?
|
Apples |
Lemons |
Before |
8x5 = 40 u |
3x5 = 15 u |
Change |
- ? |
|
After |
4x3 = 12 u |
5x3 = 15 u |
(a)
The number of lemons remains unchanged. Make the number of lemons the same. LCM of 3 and 5 is 15.
15 u = 120
1 u = 120 ÷ 15 = 8
Number of apples that the grocer had at first
= 40 u
= 40 x 8
= 320
(b)
Number of lemons that the grocer had to sell to have an equal number of apples and lemons
= 15 u - 12 u
= 3 u
= 3 x 8
= 24
Answer(s): (a) 320; (b) 24