At a stall, the ratio of dates to plums was 5 : 9. After Xylia bought two-thirds of the plums, there was a total of 56 dates and plums left at the stall. How many fruits were there at first?
| |
Dates |
Plums |
Total |
Comparing dates
and plums at first |
5x1 =
5 u |
9x1 =
9 u |
14 u |
Before |
|
3x3 =
9 u |
|
Change |
|
- 2x3 =
- 6 u |
|
After |
5 u |
1x3 =
3 u |
56 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 9 and 3 is 9.
Total number of fruits left
= 5 u + 3 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Number of fruits at first
= 5 u + 9 u
= 14 u
= 14 x 7
= 98
Answer(s): 98
