Yesterday, there were thrice as many goats as sheep on a farm. Today, 10 goats are sold. There are twice as many sheep now. Find the total number of sheep and goats on the farm yesterday.
| |
Goats |
Sheep |
Total |
| Before |
3x2 =
6 u |
1x2 =
2 u |
8 u |
| Change |
- 10 |
|
|
| After |
1 u |
2 u |
|
The number of sheep at first and in the end remains unchanged. Make the number of sheep the same. LCM of 1 and 2 is 2.
Number of goats sold
= 6 u - 1 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Total number of sheep and goats yesterday
= 6 u + 2 u
= 8 u
= 8 x 2
= 16
Answer(s): 16
