At a mart, the ratio of oranges to plums was 4 : 9. After Tiffany bought two-fifths of the plums, there was a total of 564 oranges and plums left at the mart. How many fruits were there at first?
| |
Oranges |
Plums |
Total |
Comparing oranges
and plums at first |
4x5 =
20 u |
9x5 =
45 u |
65 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
20 u |
3x9 =
27 u |
564 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 20 u + 27 u
= 47 u
47 u = 564
1 u = 564 ÷ 47 = 12
Number of fruits at first
= 20 u + 45 u
= 65 u
= 65 x 12
= 780
Answer(s): 780
