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An animal shelter spends $4.00 per day to care for each bird and $7.00 per day to care for each cat. Alyssa noticed that the shelter spent $194.00 caring for birds and cats on Thursday. Alyssa found a record showing that there were a total of 38 birds and cats on Thursday. How many birds were at the shelter on Thursday?

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MathPhys

Answer:

24

Explanation:

If B is number of birds and C is number of cats, then:

B + C = 38

4B + 7C = 194

Two equations, two variables.  Solve with substitution or elimination.

Using substitution:

C = 38 − B

4B + 7(38 − B) = 194

4B + 266 − 7B = 194

3B = 72

B = 24

There were 24 birds at the shelter on Thursday.

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