At a stall, the ratio of apples to avocados was 2 : 9. After Marion bought two-fifths of the avocados, there was a total of 407 apples and avocados left at the stall. How many fruits were there at first?
| |
Apples |
Avocados |
Total |
Comparing apples
and avocados at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
10 u |
3x9 =
27 u |
407 |
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
= 10 u + 27 u
= 37 u
37 u = 407
1 u = 407 ÷ 37 = 11
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 11
= 605
Answer(s): 605
