At a stall, the ratio of pomegranates to plums was 2 : 9. After Anna bought two-fifths of the plums, there was a total of 185 pomegranates and plums left at the stall. How many fruits were there at first?
| |
Pomegranates |
Plums |
Total |
Comparing pomegranates
and plums at first |
2x5 =
10 u |
9x5 =
45 u |
55 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
10 u |
3x9 =
27 u |
185 |
The number of plums at first is repeated. Make the number of plums at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 10 u + 27 u
= 37 u
37 u = 185
1 u = 185 ÷ 37 = 5
Number of fruits at first
= 10 u + 45 u
= 55 u
= 55 x 5
= 275
Answer(s): 275
