Howard had passion fruits and mangoes. The ratio of passion fruits to mangoes was 9 : 5. After
34 of the passion fruits and 114 mangoes were sold, there were 9 times as many passion fruits as mangoes left. How many passion fruits and mangoes were there at first?
| |
Passion Fruits |
Mangoes |
Comparing passion fruits
and mangoes at first |
9x4 =
36 u |
5x4 =
20 u |
| Before |
4x9 =
36 u |
|
| Change |
- 3x9 =
- 27 u |
- 114 |
| After |
1x9 =
9 u |
|
Comparing passion fruits
and mangoes 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 4 is 36.
Number of mangoes sold
= 20 u - 1 u
= 19 u
19 u = 114
1 u = 114 ÷ 19 = 6
Number of passion fruits and mangoes at first
= 36 u + 20 u
= 56 u
= 56 x 6
= 336
Answer(s): 336
