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