Crosswords1 min ago
Can Anyone Show How To Work Out Mindbender Question1 Please ?
16 Answers
Auntie Birdie had a farm which had only chickens and cows. Birdie counted 55 heads and 156 feet in the farmyard including her own. How many cows did she have on her farm?
Answers
Best Answer
No best answer has yet been selected by treese. Once a best answer has been selected, it will be shown here.
For more on marking an answer as the "Best Answer", please visit our FAQ.Well I've spent a while typing this in Word so whether it's wrong or right I'm posting it anyway:
You have to use algebra:
Let the number of cows be X
Let the number of chicken be Y
Each cow has 1 head and 4 feet
Each chicken has 1 head and 2 feet
The farmer has 1 head and 2 feet
So the total number of heads is X + Y +1
The total number of feet is 4X + 2Y + 2
So we know X+Y + 1 = 55 (all the heads) and 4X +2Y + 2 is 156 (all the feet)
Simplify that to 2 simultaneous equations:
X+Y = 54
4X + 2Y = 154
Double the top one : 2X+2Y = 108 and then take away from the 2nd to give
2X = 46
So there are 23 cows
You have to use algebra:
Let the number of cows be X
Let the number of chicken be Y
Each cow has 1 head and 4 feet
Each chicken has 1 head and 2 feet
The farmer has 1 head and 2 feet
So the total number of heads is X + Y +1
The total number of feet is 4X + 2Y + 2
So we know X+Y + 1 = 55 (all the heads) and 4X +2Y + 2 is 156 (all the feet)
Simplify that to 2 simultaneous equations:
X+Y = 54
4X + 2Y = 154
Double the top one : 2X+2Y = 108 and then take away from the 2nd to give
2X = 46
So there are 23 cows
One way is to make a guess. Knowing there are 55 heads you could start off with 27 chickens, 27 cows and Auntie Bertie. Work out whether you are too high or too low for the number of feet. If you are too high then reduce the number of cows slightly and increase the number of chickens accordingly. You'll soon get to the answer
Related Questions
Sorry, we can't find any related questions. Try using the search bar at the top of the page to search for some keywords, or choose a topic and submit your own question.