SOLUTION: If Thomas buys 6 hamburgers and 2 chilidogs, he pays $33.32. If he buys 3 hamburgers and 10 chili dogs, he pays $39.97. How much does a hamburger cost? How much does a chili do

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: If Thomas buys 6 hamburgers and 2 chilidogs, he pays $33.32. If he buys 3 hamburgers and 10 chili dogs, he pays $39.97. How much does a hamburger cost? How much does a chili do      Log On

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Question 396086: If Thomas buys 6 hamburgers and 2 chilidogs, he pays $33.32. If he buys 3 hamburgers and 10 chili dogs, he pays $39.97. How much does a hamburger cost? How much does a chili dog cost?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = cost of a hamburger
Let b = cost of a chilidog
given:
(1) 6a+%2B+2b+=+3332 (in cents)
(2) 3a+%2B+10b+=+3997 (in cents)
---------------------
Divide both sides of (1) by 2, and
subtract (1) from (2)
(2) 3a+%2B+10b+=+3997
(1) -3a+-+b+=+-1666
9b+=+2331
b+=+259
and, from (1),
(1) 3a+%2B+b+=+1666
3a+%2B+259+=+1666
3a+=+1407
a+=+469
A hamburger costs $4.69
A chilidog costs $2.59