At a mart, the ratio of plums to lemons was 4 : 11. After Sarah bought two-thirds of the lemons, there was a total of 207 plums and lemons left at the mart. How many fruits were there at first?
| |
Plums |
Lemons |
Total |
Comparing plums
and lemons at first |
4x3 =
12 u |
11x3 =
33 u |
45 u |
Before |
|
3x11 =
33 u |
|
Change |
|
- 2x11 =
- 22 u |
|
After |
12 u |
1x11 =
11 u |
207 |
The number of lemons at first is repeated. Make the number of lemons at first the same. LCM of 11 and 3 is 33.
Total number of fruits left
= 12 u + 11 u
= 23 u
23 u = 207
1 u = 207 ÷ 23 = 9
Number of fruits at first
= 12 u + 33 u
= 45 u
= 45 x 9
= 405
Answer(s): 405
