At a shop, the ratio of papayas to avocados was 7 : 9. After Lynn bought three-fifths of the avocados, there was a total of 530 papayas and avocados left at the shop. How many fruits were there at first?
|
Papayas |
Avocados |
Total |
Comparing papayas and avocados at first |
7x5 = 35 u |
9x5 = 45 u |
80 u |
Before |
|
5x9 = 45 u |
|
Change |
|
- 3x9 = - 27 u |
|
After |
35 u |
2x9 = 18 u |
530 |
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
= 35 u + 18 u
= 53 u
53 u = 530
1 u = 530 ÷ 53 = 10
Number of fruits at first
= 35 u + 45 u
= 80 u
= 80 x 10
= 800
Answer(s): 800