Yesterday, there were twice as many ducks as pigs on a farm. Today, 50 ducks are sold. There are thrice as many pigs now. Find the total number of pigs and ducks on the farm yesterday.
| |
Ducks |
Pigs |
Total |
| Before |
2x3 =
6 u |
1x3 =
3 u |
9 u |
| Change |
- 50 |
|
|
| After |
1 u |
3 u |
|
The number of pigs at first and in the end remains unchanged. Make the number of pigs the same. LCM of 1 and 3 is 3.
Number of ducks sold
= 6 u - 1 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Total number of pigs and ducks yesterday
= 6 u + 3 u
= 9 u
= 9 x 10
= 90
Answer(s): 90
