Ahmad had persimmons and apples. The ratio of persimmons to apples was 6 : 5. After
14 of the persimmons and 54 apples were sold, there were 9 times as many persimmons as apples left. How many persimmons and apples were there at first?
|
Persimmons |
Apples |
Comparing persimmons and apples at first |
6x2 = 12 u |
5x2 = 10 u |
Before |
4x3 = 12 u |
|
Change |
- 1x3 = - 3 u |
- 54 |
After |
3x3 = 9 u |
|
Comparing persimmons and apples in the end |
9 u |
1 u |
The number of persimmons at first is repeated. Make the number of persimmons at first the same. LCM of 6 and 4 is 12.
Number of apples sold
= 10 u - 1 u
= 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Number of persimmons and apples at first
= 12 u + 10 u
= 22 u
= 22 x 6
= 132
Answer(s): 132