At a mart, the ratio of plums to dates was 3 : 11. After Roshel bought two-thirds of the dates, there was a total of 140 plums and dates left at the mart. How many fruits were there at first?
| |
Plums |
Dates |
Total |
Comparing plums
and dates at first |
3x3 =
9 u |
11x3 =
33 u |
42 u |
Before |
|
3x11 =
33 u |
|
Change |
|
- 2x11 =
- 22 u |
|
After |
9 u |
1x11 =
11 u |
140 |
The number of dates at first is repeated. Make the number of dates at first the same. LCM of 11 and 3 is 33.
Total number of fruits left
= 9 u + 11 u
= 20 u
20 u = 140
1 u = 140 ÷ 20 = 7
Number of fruits at first
= 9 u + 33 u
= 42 u
= 42 x 7
= 294
Answer(s): 294
