At a mart, the ratio of grapefruits to avocados was 5 : 9. After Emma bought two-fifths of the avocados, there was a total of 468 grapefruits and avocados left at the mart. How many fruits were there at first?
|
Grapefruits |
Avocados |
Total |
Comparing grapefruits and avocados at first |
5x5 = 25 u |
9x5 = 45 u |
70 u |
Before |
|
5x9 = 45 u |
|
Change |
|
- 2x9 = - 18 u |
|
After |
25 u |
3x9 = 27 u |
468 |
The number of avocados at first is repeated. Make the number of avocados at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 25 u + 27 u
= 52 u
52 u = 468
1 u = 468 ÷ 52 = 9
Number of fruits at first
= 25 u + 45 u
= 70 u
= 70 x 9
= 630
Answer(s): 630