At a stall, the ratio of dates to pears was 5 : 12. After Roshel bought two-thirds of the pears, there was a total of 108 dates and pears left at the stall. How many fruits were there at first?
| |
Dates |
Pears |
Total |
Comparing dates
and pears at first |
5x1 =
5 u |
12x1 =
12 u |
17 u |
Before |
|
3x4 =
12 u |
|
Change |
|
- 2x4 =
- 8 u |
|
After |
5 u |
1x4 =
4 u |
108 |
The number of pears at first is repeated. Make the number of pears at first the same. LCM of 12 and 3 is 12.
Total number of fruits left
= 5 u + 4 u
= 9 u
9 u = 108
1 u = 108 ÷ 9 = 12
Number of fruits at first
= 5 u + 12 u
= 17 u
= 17 x 12
= 204
Answer(s): 204
