Yesterday, there were twice as many geese as chickens on a farm. Today, 30 geese are sold. There are thrice as many chickens now. Find the total number of chickens and geese on the farm yesterday.
|
Geese |
Chickens |
Total |
Before |
2x3 = 6 u |
1x3 = 3 u |
9 u |
Change |
- 30 |
|
|
After |
1 u |
3 u |
|
The number of chickens at first and in the end remains unchanged. Make the number of chickens the same. LCM of 1 and 3 is 3.
Number of geese sold
= 6 u - 1 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of chickens and geese yesterday
= 6 u + 3 u
= 9 u
= 9 x 6
= 54
Answer(s): 54