Owen had mangoes and passion fruits. The ratio of mangoes to passion fruits was 9 : 5. After
45 of the mangoes and 144 passion fruits were sold, there were 9 times as many mangoes as passion fruits left. How many mangoes and passion fruits were there at first?
| |
Mangoes |
Passion Fruits |
Comparing mangoes
and passion fruits at first |
9x5 =
45 u |
5x5 =
25 u |
| Before |
5x9 =
45 u |
|
| Change |
- 4x9 =
- 36 u |
- 144 |
| After |
1x9 =
9 u |
|
Comparing mangoes
and passion fruits in the end |
9 u |
1 u |
The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 9 and 5 is 45.
Number of passion fruits sold
= 25 u - 1 u
= 24 u
24 u = 144
1 u = 144 ÷ 24 = 6
Number of mangoes and passion fruits at first
= 45 u + 25 u
= 70 u
= 70 x 6
= 420
Answer(s): 420
