Yesterday, there were four times as many goats as sheep on a farm. Today, 88 goats are sold. There are thrice as many sheep now. Find the total number of sheep and goats on the farm yesterday.
| |
Goats |
Sheep |
Total |
| Before |
4x3 =
12 u |
1x3 =
3 u |
15 u |
| Change |
- 88 |
|
|
| After |
1 u |
3 u |
|
The number of sheep at first and in the end remains unchanged. Make the number of sheep the same. LCM of 1 and 3 is 3.
Number of goats sold
= 12 u - 1 u
= 11 u
11 u = 88
1 u = 88 ÷ 11 = 8
Total number of sheep and goats yesterday
= 12 u + 3 u
= 15 u
= 15 x 8
= 120
Answer(s): 120
