Question

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

Answer 1

Answer:

$A) x+y=100 \\ ..\ 5x + y = 420$

Step-by-step explanation:

From the question we are told that:

Five-dollar bill  x

One-dollar bill  y

Total number of bills $N=100$

Worth of bills $w=420$

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

Since it is made up of five and one dollar bills

Therefore

  $x+y=100$

Hence the Equation for Total worth of bills is

 $5x+y=420$

The System of equations used is

$A) x+y=100 \\ ..\ 5x + y = 420$