Yesterday, there were thrice as many sheep as goats on a farm. Today, 15 sheep are sold. There are twice as many goats now. Find the total number of goats and sheep on the farm yesterday.
| |
Sheep |
Goats |
Total |
| Before |
3x2 =
6 u |
1x2 =
2 u |
8 u |
| Change |
- 15 |
|
|
| 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 sheep sold
= 6 u - 1 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Total number of goats and sheep yesterday
= 6 u + 2 u
= 8 u
= 8 x 3
= 24
Answer(s): 24
