At a mart, the ratio of avocados to pomegranates was 4 : 9. After Julie bought three-fifths of the pomegranates, there was a total of 152 avocados and pomegranates left at the mart. How many fruits were there at first?
|
Avocados |
Pomegranates |
Total |
Comparing avocados and pomegranates at first |
4x5 = 20 u |
9x5 = 45 u |
65 u |
Before |
|
5x9 = 45 u |
|
Change |
|
- 3x9 = - 27 u |
|
After |
20 u |
2x9 = 18 u |
152 |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 20 u + 18 u
= 38 u
38 u = 152
1 u = 152 ÷ 38 = 4
Number of fruits at first
= 20 u + 45 u
= 65 u
= 65 x 4
= 260
Answer(s): 260