Luis had persimmons and passion fruits. The ratio of persimmons to passion fruits was 7 : 4. After
34 of the persimmons and 105 passion fruits were sold, there were 7 times as many persimmons as passion fruits left. How many persimmons and passion fruits were there at first?
| |
Persimmons |
Passion Fruits |
Comparing persimmons
and passion fruits at first |
7x4 =
28 u |
4x4 =
16 u |
| Before |
4x7 =
28 u |
|
| Change |
- 3x7 =
- 21 u |
- 105 |
| After |
1x7 =
7 u |
|
Comparing persimmons
and passion fruits 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 4 is 28.
Number of passion fruits sold
= 16 u - 1 u
= 15 u
15 u = 105
1 u = 105 ÷ 15 = 7
Number of persimmons and passion fruits at first
= 28 u + 16 u
= 44 u
= 44 x 7
= 308
Answer(s): 308
