Andy had peaches and passion fruits. The ratio of peaches to passion fruits was 9 : 7. After
45 of the peaches and 204 passion fruits were sold, there were 9 times as many peaches as passion fruits left. How many peaches and passion fruits were there at first?
| |
Peaches |
Passion Fruits |
Comparing peaches
and passion fruits at first |
9x5 =
45 u |
7x5 =
35 u |
| Before |
5x9 =
45 u |
|
| Change |
- 4x9 =
- 36 u |
- 204 |
| After |
1x9 =
9 u |
|
Comparing peaches
and passion fruits in the end |
9 u |
1 u |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 9 and 5 is 45.
Number of passion fruits sold
= 35 u - 1 u
= 34 u
34 u = 204
1 u = 204 ÷ 34 = 6
Number of peaches and passion fruits at first
= 45 u + 35 u
= 80 u
= 80 x 6
= 480
Answer(s): 480
