SOLUTION: James has some $5 bills and some $20 bills. He has a total of 29 bills, and their total value is $310. Label the steps of the problem-solving process, and determine how many $5 bil

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: James has some $5 bills and some $20 bills. He has a total of 29 bills, and their total value is $310. Label the steps of the problem-solving process, and determine how many $5 bil      Log On


   

Question 997063: James has some $5 bills and some $20 bills. He has a total of 29 bills, and their total value is $310. Label the steps of the problem-solving process, and determine how many $5 bills James has.
Number of $5 bills:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Process is (1) Assign variables, (2) Translate description into system of equations, (3) Solve the system.


x, how many five-dollar bills
y, ................twenty dollar bills


system%285x%2B20y=310%2Cx%2By=29%29


Algebra Steps:
Money count, divide members by 5.
x%2B4y=62.
Now the system is
system%28x%2B4y=62%2Cx%2By=29%29.
-
Elimination-Method-ready.
%28x%2B4y%29-%28x%2By%29=62-29
3y=33
highlight%28y=11%29
-
return to x+y=29.
x=29-y
x=29-11
highlight%28x=18%29