Yesterday, there were thrice as many ducks as goats on a farm. Today, 25 ducks are sold. There are twice as many goats now. Find the total number of goats and ducks on the farm yesterday.
|
Ducks |
Goats |
Total |
Before |
3x2 = 6 u |
1x2 = 2 u |
8 u |
Change |
- 25 |
|
|
After |
1 u |
2 u |
|
The number of goats at first and in the end remains unchanged. Make the number of goats the same. LCM of 1 and 2 is 2.
Number of ducks sold
= 6 u - 1 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
Total number of goats and ducks yesterday
= 6 u + 2 u
= 8 u
= 8 x 5
= 40
Answer(s): 40