At a mart, the ratio of tomatoes to papayas was 4 : 9. After Roshel bought two-fifths of the papayas, there was a total of 282 tomatoes and papayas left at the mart. How many fruits were there at first?
| |
Tomatoes |
Papayas |
Total |
Comparing tomatoes
and papayas at first |
4x5 =
20 u |
9x5 =
45 u |
65 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
20 u |
3x9 =
27 u |
282 |
The number of papayas at first is repeated. Make the number of papayas at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 20 u + 27 u
= 47 u
47 u = 282
1 u = 282 ÷ 47 = 6
Number of fruits at first
= 20 u + 45 u
= 65 u
= 65 x 6
= 390
Answer(s): 390
