At a mart, the ratio of coconuts to apples was 4 : 9. After Erika bought two-fifths of the apples, there was a total of 564 coconuts and apples left at the mart. How many fruits were there at first?
|
Coconuts |
Apples |
Total |
Comparing coconuts and apples 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 apples at first is repeated. Make the number of apples 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