Eight hours ago, a grocer started his day with some persimmons and oranges in the ratio of 8 : 3. There were 60 oranges. Some of the persimmons were bought by Betty. As a result, the number of persimmons became
25 of the oranges.
- How many persimmons did the grocer have left?
- How many persimmons did the grocer have to buy in order to have an equal number of persimmons and oranges?
|
Persimmons |
Oranges |
Before |
8x5 = 40 u |
3x5 = 15 u |
Change |
- ? |
|
After |
2x3 = 6 u |
5x3 = 15 u |
(a)
The number of oranges remains unchanged. Make the number of oranges the same. LCM of 3 and 5 is 15.
15 u = 60
1 u = 60 ÷ 15 = 4
Number of persimmons that the grocer had left
= 6 u
= 6 x 4
= 24
(b)
Number of persimmons that the grocer had to buy to have an equal number of persimmons and oranges
= 15 u - 6 u
= 9 u
= 9 x 4
= 36
Answer(s): (a) 24; (b) 36