At a mart, the ratio of papayas to mangosteens was 4 : 11. After Risa bought four-fifths of the mangosteens, there was a total of 217 papayas and mangosteens left at the mart. How many fruits were there at first?
| |
Papayas |
Mangosteens |
Total |
Comparing papayas
and mangosteens 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 mangosteens at first is repeated. Make the number of mangosteens 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
