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ALGEBRA 2 HOMEWORK HELP...

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ALGEBRA AND TRIGONOMETRY

STRUCTURE AND METHOD - BOOK 2

McDougal Littell

3-6: Problem Solving: Using Systems

Pg. 132 #1

Kerry asked a bank teller to cash a $390 check using $20 bills and $50 bills. If the teller gave her a total of 15 bills, how many of each type of bill did she receive?

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  1. 12 twenty's and 3 fifty's  


  2. 12- 20 dollar bills ($240) & 3- 50 dollars bills($150) add them together and you get $390

  3. let  x = number of 20's, and 15 - x = number of 50's

    20x = total cost of 20 dollar bills

    50(15-x) = total cost of 50 dollar bills

    > 20x + 50(15-x) = 390

    > 20x + 750 - 50x = 390. Distribute and combine like terms

    > -30x = -360

    > x = 12

    12 twenties, 3 fifties

  4. 3 -50 dollar bills

    12- 20 dollar bills  

  5. 12 $20s

    3 $50s

  6. I will set x equal to the $20 bills and (15-x) equal to the $50 bills.

    390 = 20(x) + 50(15-x)

    390 = 20x +750 -50x

    50x = 20x + 360

    30x = 360

    x =12   , $20 bills

    15-x = 15-12= 3,   $50 bills

    12 twenties, 3 fifties

    You can also check this:  12(20) + 3(50) = 390

    Hope this helps!

    P.S. I just love how people come later and just say the answers I did with no work.. hmmm

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