At a mart, the ratio of avocados to plums was 5 : 9. After Esther bought three-fifths of the plums, there was a total of 301 avocados and plums left at the mart. How many fruits were there at first?
|
Avocados |
Plums |
Total |
Comparing avocados and plums at first |
5x5 = 25 u |
9x5 = 45 u |
70 u |
Before |
|
5x9 = 45 u |
|
Change |
|
- 3x9 = - 27 u |
|
After |
25 u |
2x9 = 18 u |
301 |
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
= 25 u + 18 u
= 43 u
43 u = 301
1 u = 301 ÷ 43 = 7
Number of fruits at first
= 25 u + 45 u
= 70 u
= 70 x 7
= 490
Answer(s): 490