SOLUTION: Hi Can you help me solve this problem? I tried it about five times and i am coming up with 38 and 122 for the answer but nothing is correct when I go to check. solve: sara's t

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi Can you help me solve this problem? I tried it about five times and i am coming up with 38 and 122 for the answer but nothing is correct when I go to check. solve: sara's t      Log On

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Question 416559: Hi
Can you help me solve this problem? I tried it about five times and i am coming up with 38 and 122 for the answer but nothing is correct when I go to check.
solve: sara's telephone service costs $21 per month plus $0.25 for each local call, and long -distance calls are extra. Last month, Sara's bill was $34.64, and it included $6.14 in long-distance charges. How many local calls did she make?
Thanks so much. Your help is greatly appreciated.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can start by writing the appropriate equation for the total cost (C) of Sarah's telephone service.
C+=+21%2B0.25x%2BD where x = the number of local calls at $0.25 each and D = the cost of the long-distance calls.
Substitute into equation above: C = $34.64 and D = $6.14
34.64+=+21%2B0.25x%2B6.14 Simplify and solve for x.
34.64+=+21%2B6.14%2B0.25x
34.64+=+27.14%2B0.25x Subtract 27.14 from both sides.
7.50+=+0.25x Divide both sides by 0.25
30+=+x
Sarah made 30 local calls.