Ethan had persimmons and starfruits. The ratio of persimmons to starfruits was 7 : 5. After
12 of the persimmons and 45 starfruits were sold, there were 7 times as many persimmons as starfruits left. How many persimmons and starfruits were there at first?
| |
Persimmons |
Starfruits |
Comparing persimmons
and starfruits at first |
7x2 =
14 u |
5x2 =
10 u |
| Before |
2x7 =
14 u |
|
| Change |
- 1x7 =
- 7 u |
- 45 |
| After |
1x7 =
7 u |
|
Comparing persimmons
and starfruits 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 2 is 14.
Number of starfruits sold
= 10 u - 1 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of persimmons and starfruits at first
= 14 u + 10 u
= 24 u
= 24 x 5
= 120
Answer(s): 120
