At a mart, the ratio of plums to dates was 5 : 9. After Tammy bought four-fifths of the dates, there was a total of 272 plums and dates left at the mart. How many fruits were there at first?
| |
Plums |
Dates |
Total |
Comparing plums
and dates at first |
5x5 =
25 u |
9x5 =
45 u |
70 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 4x9 =
- 36 u |
|
After |
25 u |
1x9 =
9 u |
272 |
The number of dates at first is repeated. Make the number of dates at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 25 u + 9 u
= 34 u
34 u = 272
1 u = 272 ÷ 34 = 8
Number of fruits at first
= 25 u + 45 u
= 70 u
= 70 x 8
= 560
Answer(s): 560
