Between cats and canaries there are 52 heads and 182 feet. how many of each animal are there?

Question

this is a question from a D.C. Heath and Company Workshhet 62

Answer 1

Let number of canaries be x and number of cats be y.

We have:

x + y = 52 --- (1)
2x + 4y = 182 --- (2)

From (1), we have:

y = 52 - x --- (3)

Substituting (3) into (2), we will get:

2x + 4(52 - x) = 182
2x + 208 - 4x = 182
4x - 2x = 208 - 182
2x = 26
x = 13

Substituting x = 13 into (3), we will have:

y = 52 - 13
y = 39

Hence, there are 13 canaries and 39 cats.

Answer 2

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