At a mart, the ratio of avocados to plums was 5 : 11. After Cindy bought four-fifths of the plums, there was a total of 108 avocados and plums left at the mart. How many fruits were there at first?
|
Avocados |
Plums |
Total |
Comparing avocados and plums at first |
5x5 = 25 u |
11x5 = 55 u |
80 u |
Before |
|
5x11 = 55 u |
|
Change |
|
- 4x11 = - 44 u |
|
After |
25 u |
1x11 = 11 u |
108 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 25 u + 11 u
= 36 u
36 u = 108
1 u = 108 ÷ 36 = 3
Number of fruits at first
= 25 u + 55 u
= 80 u
= 80 x 3
= 240
Answer(s): 240