Simon had passion fruits and pears. The ratio of passion fruits to pears was 9 : 2. After
34 of the passion fruits and 49 pears were sold, there were 9 times as many passion fruits as pears left. How many passion fruits and pears were there at first?
| |
Passion Fruits |
Pears |
Comparing passion fruits
and pears at first |
9x4 =
36 u |
2x4 =
8 u |
| Before |
4x9 =
36 u |
|
| Change |
- 3x9 =
- 27 u |
- 49 |
| After |
1x9 =
9 u |
|
Comparing passion fruits
and pears 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 pears sold
= 8 u - 1 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Number of passion fruits and pears at first
= 36 u + 8 u
= 44 u
= 44 x 7
= 308
Answer(s): 308
