Vincent had passion fruits and persimmons. The ratio of passion fruits to persimmons was 9 : 8. After
12 of the passion fruits and 150 persimmons were sold, there were 9 times as many passion fruits as persimmons left. How many passion fruits and persimmons were there at first?
|
Passion Fruits |
Persimmons |
Comparing passion fruits and persimmons at first |
9x2 = 18 u |
8x2 = 16 u |
Before |
2x9 = 18 u |
|
Change |
- 1x9 = - 9 u |
- 150 |
After |
1x9 = 9 u |
|
Comparing passion fruits and persimmons in the end |
9 u |
1 u |
The number of passion fruits at first is repeated. Make the number of passion fruits at first the same. LCM of 9 and 2 is 18.
Number of persimmons sold
= 16 u - 1 u
= 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Number of passion fruits and persimmons at first
= 18 u + 16 u
= 34 u
= 34 x 10
= 340
Answer(s): 340