Will had persimmons and pomegranates. The ratio of persimmons to pomegranates was 7 : 3. After
45 of the persimmons and 28 pomegranates were sold, there were 7 times as many persimmons as pomegranates left. How many persimmons and pomegranates were there at first?
| |
Persimmons |
Pomegranates |
Comparing persimmons
and pomegranates at first |
7x5 =
35 u |
3x5 =
15 u |
| Before |
5x7 =
35 u |
|
| Change |
- 4x7 =
- 28 u |
- 28 |
| After |
1x7 =
7 u |
|
Comparing persimmons
and pomegranates in the end |
7 u |
1 u |
The number of persimmons at first is repeated. Make the number of persimmons at first the same. LCM of 7 and 5 is 35.
Number of pomegranates sold
= 15 u - 1 u
= 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Number of persimmons and pomegranates at first
= 35 u + 15 u
= 50 u
= 50 x 2
= 100
Answer(s): 100
