Luis had lemons and passion fruits. The ratio of lemons to passion fruits was 6 : 5. After
45 of the lemons and 168 passion fruits were sold, there were 6 times as many lemons as passion fruits left. How many lemons and passion fruits were sold?
|
Lemons |
Passion Fruits |
Comparing lemons and passion fruits at first |
6x5 = 30 u |
5x5 = 25 u |
Before |
5x6 = 30 u |
|
Change |
- 4x6 = - 24 u |
- 168 |
After |
1x6 = 6 u |
|
Comparing lemons and passion fruits in the end |
6 u |
1 u |
The number of lemons at first is repeated. Make the number of lemons at first the same. LCM of 6 and 5 is 30.
Number of passion fruits sold
= 25 u - 1 u
= 24 u
24 u = 168
1 u = 168 ÷ 24 = 7
Number of lemons and passion fruits sold
= 24 u + 168
= 24 x 7 + 168
= 168 + 168
= 336
Answer(s): 336