At a supermarket, the ratio of plums to tomatoes was 5 : 12. After Dana bought two-thirds of the tomatoes, there was a total of 81 plums and tomatoes left at the supermarket. How many fruits were there at first?
| |
Plums |
Tomatoes |
Total |
Comparing plums
and tomatoes at first |
5x1 =
5 u |
12x1 =
12 u |
17 u |
Before |
|
3x4 =
12 u |
|
Change |
|
- 2x4 =
- 8 u |
|
After |
5 u |
1x4 =
4 u |
81 |
The number of tomatoes at first is repeated. Make the number of tomatoes at first the same. LCM of 12 and 3 is 12.
Total number of fruits left
= 5 u + 4 u
= 9 u
9 u = 81
1 u = 81 ÷ 9 = 9
Number of fruits at first
= 5 u + 12 u
= 17 u
= 17 x 9
= 153
Answer(s): 153
