Xavier had pomegranates and passion fruits. The ratio of pomegranates to passion fruits was 9 : 5. After
34 of the pomegranates and 190 passion fruits were sold, there were 9 times as many pomegranates as passion fruits left. How many pomegranates and passion fruits were sold?
| |
Pomegranates |
Passion Fruits |
Comparing pomegranates
and passion fruits at first |
9x4 =
36 u |
5x4 =
20 u |
| Before |
4x9 =
36 u |
|
| Change |
- 3x9 =
- 27 u |
- 190 |
| After |
1x9 =
9 u |
|
Comparing pomegranates
and passion fruits in the end |
9 u |
1 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 9 and 4 is 36.
Number of passion fruits sold
= 20 u - 1 u
= 19 u
19 u = 190
1 u = 190 ÷ 19 = 10
Number of pomegranates and passion fruits sold
= 27 u + 190
= 27 x 10 + 190
= 270 + 190
= 460
Answer(s): 460
