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Tony Soprano has a collection of five-dollar and one-dollar bilis in his shirt pocket. He has 100 bills in all worth a total of $420. Which of the following systems of equations could be used to completely determine how many of each type of bill he has?
A. x+y=100 5x + y = 420
B. 5x + y = 420 100x + 420y = 5
C. x+y=100 x+y = 420 5x + y = 100

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Answer:

[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]

Step-by-step explanation:

From the question we are told that:

Five-dollar bill  x

One-dollar bill  y

Total number of bills [tex]N=100[/tex]

Worth of bills [tex]w=420[/tex]

Generally the equation for Total number of bills  is mathematically given by

Since it is made up of five and one dollar bills

Therefore

  [tex]x+y=100[/tex]

Hence the Equation for Total worth of bills is

 [tex]5x+y=420[/tex]

The System of equations used is

[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]

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