Rael had persimmons and passion fruits. The ratio of persimmons to passion fruits was 9 : 5. After
34 of the persimmons and 38 passion fruits were sold, there were 9 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 |
9x4 =
36 u |
5x4 =
20 u |
| Before |
4x9 =
36 u |
|
| Change |
- 3x9 =
- 27 u |
- 38 |
| After |
1x9 =
9 u |
|
Comparing persimmons
and passion fruits 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 9 and 4 is 36.
Number of passion fruits sold
= 20 u - 1 u
= 19 u
19 u = 38
1 u = 38 ÷ 19 = 2
Number of persimmons and passion fruits at first
= 36 u + 20 u
= 56 u
= 56 x 2
= 112
Answer(s): 112
