At a mart, the ratio of avocados to tomatoes was 2 : 9. After Emily bought two-fifths of the tomatoes, there was a total of 259 avocados and tomatoes left at the mart. How many fruits were there at first?
| |
Avocados |
Tomatoes |
Total |
Comparing avocados
and tomatoes at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
10 u |
3x9 =
27 u |
259 |
The number of tomatoes at first is repeated. Make the number of tomatoes at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 10 u + 27 u
= 37 u
37 u = 259
1 u = 259 ÷ 37 = 7
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 7
= 385
Answer(s): 385
