The ratio of lemons to pomegranates is 3 : 4. If 319 pomegranates are added, the ratio of lemons to pomegranates will be 1 : 11. How many lemons are there?
| |
Lemons |
Pomegranates |
| Before |
3x1 =
3 u |
4x1 =
4 u |
| Change |
|
+ 319 |
| After |
1x3 =
3 u |
11x3 =
33 u |
The number of lemons at first and in the end remains unchanged. Make the number of lemons at first and in the end the same. LCM of 3 and 1 is 3.
Number of pomegranates added
= 33 u - 4 u
= 29 u
29 u = 319
1 u = 319 ÷ 29 = 11
Number of lemons
= 3 u
= 3 x 11
= 33
Answer(s): 33
