At a supermarket, the ratio of lemons to dragon fruits was 4 : 11. After Winnie bought four-fifths of the dragon fruits, there was a total of 217 lemons and dragon fruits left at the supermarket. How many fruits were there at first?
| |
Lemons |
Dragon Fruits |
Total |
Comparing lemons
and dragon fruits at first |
4x5 =
20 u |
11x5 =
55 u |
75 u |
Before |
|
5x11 =
55 u |
|
Change |
|
- 4x11 =
- 44 u |
|
After |
20 u |
1x11 =
11 u |
217 |
The number of dragon fruits at first is repeated. Make the number of dragon fruits at first the same. LCM of 11 and 5 is 55.
Total number of fruits left
= 20 u + 11 u
= 31 u
31 u = 217
1 u = 217 ÷ 31 = 7
Number of fruits at first
= 20 u + 55 u
= 75 u
= 75 x 7
= 525
Answer(s): 525
