At a supermarket, the ratio of papayas to mandarin oranges was 4 : 11. After Elyse bought three-quarters of the mandarin oranges, there was a total of 270 papayas and mandarin oranges left at the supermarket. How many fruits were there at first?
| |
Papayas |
Mandarin Oranges |
Total |
Comparing papayas
and mandarin oranges at first |
4x4 =
16 u |
11x4 =
44 u |
60 u |
Before |
|
4x11 =
44 u |
|
Change |
|
- 3x11 =
- 33 u |
|
After |
16 u |
1x11 =
11 u |
270 |
The number of mandarin oranges at first is repeated. Make the number of mandarin oranges at first the same. LCM of 11 and 4 is 44.
Total number of fruits left
= 16 u + 11 u
= 27 u
27 u = 270
1 u = 270 ÷ 27 = 10
Number of fruits at first
= 16 u + 44 u
= 60 u
= 60 x 10
= 600
Answer(s): 600
