Yesterday, there were thrice as many sheep as geese on a farm. Today, 45 sheep are sold. There are twice as many geese now. Find the total number of geese and sheep on the farm yesterday.
| |
Sheep |
Geese |
Total |
| Before |
3x2 =
6 u |
1x2 =
2 u |
8 u |
| Change |
- 45 |
|
|
| After |
1 u |
2 u |
|
The number of geese at first and in the end remains unchanged. Make the number of geese the same. LCM of 1 and 2 is 2.
Number of sheep sold
= 6 u - 1 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Total number of geese and sheep yesterday
= 6 u + 2 u
= 8 u
= 8 x 9
= 72
Answer(s): 72
