Peter had passion fruits and lemons. The ratio of passion fruits to lemons was 9 : 4. After
34 of the passion fruits and 45 lemons were sold, there were 9 times as many passion fruits as lemons left. How many passion fruits and lemons were sold?
| |
Passion Fruits |
Lemons |
Comparing passion fruits
and lemons at first |
9x4 =
36 u |
4x4 =
16 u |
| Before |
4x9 =
36 u |
|
| Change |
- 3x9 =
- 27 u |
- 45 |
| After |
1x9 =
9 u |
|
Comparing passion fruits
and lemons 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 lemons sold
= 16 u - 1 u
= 15 u
15 u = 45
1 u = 45 ÷ 15 = 3
Number of passion fruits and lemons sold
= 27 u + 45
= 27 x 3 + 45
= 81 + 45
= 126
Answer(s): 126
