rodriguez1414 rodriguez1414
  • 09-01-2015
  • Mathematics
contestada

a student has some $1 and $5 bills in his wallet. He has a total of 13 bills that are worth $33. How many of each type of bill does he have?

Respuesta :

Kim1978 Kim1978
  • 09-01-2015
He has 6 $5 dollar bills and 3 $1 dollar bills

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JeanaShupp
JeanaShupp JeanaShupp
  • 09-09-2019

Answer: The number $1 bills is 8 and the number of $5 bills is 8.

Step-by-step explanation:

Let x denotes $1 bills and y be denotes $5 bills.

Then , we have the following equations :-

[tex]x+y=13-------(1)\\\\x+5y=33-------(2)[/tex]

Subtracting equation (1) from (2), we get

[tex]4y=33-13=20\\\\\Rightarrow y=\dfrac{20}[4}=5[/tex]

Substitute y=5 in equation(1), we get

[tex]x+5=13\\\\\Rightarrow\ x=13-5=8[/tex]

Hence, the number $1 bills is 8 and the number of $5 bills is 8.

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