In a zoo, there are horse and pigeons. If heads are counted, there are 340 heads and if legs are counted there are 1060 legs. How many pigeons are there?
Show answer & explanation
Correct answer: A
Explanation
Let the number of horses = x
And the number of pigeons = y
Based on the number of heads:
x + y = 340 ...(1)
Based on the number of legs:
Horses have 4 legs and pigeons have 2 legs.
4x + 2y = 1060
2x + y = 530 ...(2)
Equation (2) - Equation (1):
(2x + y) - (x + y) = 530 - 340
x = 190
So, horses = 190
x + y = 340
190 + y = 340
y = 150