SOLUTION: An animal shelter spends $4.50 per day to care for each bird and $5.00 per day to care for each cat. Sansa noticed that the shelter spent $146.00 caring for birds and cats on Wedne

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An animal shelter spends $4.50 per day to care for each bird and $5.00 per day to care for each cat. Sansa noticed that the shelter spent $146.00 caring for birds and cats on Wedne      Log On


   

Question 1011739: An animal shelter spends $4.50 per day to care for each bird and $5.00 per day to care for each cat. Sansa noticed that the shelter spent $146.00 caring for birds and cats on Wednesday. Sansa found a record showing that there were a total of 31 birds and cats on Wednesday. How many birds were at the shelter on Wednesday?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An animal shelter spends $4.50 per day to care for each bird and $5.00 per day to care for each cat. Sansa noticed that the shelter spent $146.00 caring for birds and cats on Wednesday. Sansa found a record showing that there were a total of 31 birds and cats on Wednesday. How many birds were at the shelter on Wednesday?
--------------
4.5b + 5c = 146 dollars
b + c = 31
-------
Modify for elimination:
45b + 50c = 1460
50b + 50c = 50*31
------------------
Subtract and solve for "b"::
5b = 90
b = 18 (# of birds)
----------
Cheers,
Stan H.
----------