A motel clerk counts his $1 and $10 bills at the end of the day. he finds that he has a total of 47 bills having a combined monetary value of $182. find the number of bills of each denomination that he has

Question

anonymous · Answer

You can set up a system of equations to solve for that amount.
So lets say A = one dollar bills and B = ten dollar bills. 

If he has a total of 47 bills than we can set up one equation as:
  A + B = 47
Where both the bills must add up to only a total of 47. 

Since we also know that they both must add up to 182$ then we can say:
  1A + 10B = 182
Where 1$ per each 1 dollar (A) plus 10$ per each 10 dollar bill (B) must equal the total amount of 182$.

anonymous · Answer

Now you can solve one equation for either A or B and plug it into the second equation to solve for a missing term.