Yesterday, there were four times as many sheep as goats on a farm. Today, 66 sheep are sold. There are thrice as many goats now. Find the total number of goats and sheep on the farm yesterday.
| |
Sheep |
Goats |
Total |
| Before |
4x3 =
12 u |
1x3 =
3 u |
15 u |
| Change |
- 66 |
|
|
| After |
1 u |
3 u |
|
The number of goats at first and in the end remains unchanged. Make the number of goats the same. LCM of 1 and 3 is 3.
Number of sheep sold
= 12 u - 1 u
= 11 u
11 u = 66
1 u = 66 ÷ 11 = 6
Total number of goats and sheep yesterday
= 12 u + 3 u
= 15 u
= 15 x 6
= 90
Answer(s): 90
