Question 53 Jeremiah has 55 bills consisting of P100 and P500 bills. The total amount of the bills is P4, 300 . Which of the following is the system of linear equations that represents the scenario where \( x \) is the number of P100-bills and \( y \) is the number of P500-bills? - \( x-y=4,300 \) and \( 100 x-500 y=55 \) o \( x+y=4,300 \) and \( 100 x+500 y=55 \) o \( x-y=55 \) and \( 100 x-500 y=4,300 \)

To represent the scenario with a system of linear equations, we need to set up two equations based on the information given: 1. The total number of bills (P100 and P500) is 55. 2. The total amount of money from these bills is P4,300. Let: - \( x \) = number of P100 bills - \( y \) = number of P500 bills From the first piece of information, we can write the equation: \[ x + y = 55 \] (Equation 1) From the second piece of information, the total value of the bills can be expressed as: \[ 100x + 500y = 4300 \] (Equation 2) So the correct system of equations that represents the scenario is: 1. \( x + y = 55 \) 2. \( 100x + 500y = 4300 \) None of the options provided in your question match this system exactly. However, if we were to look for a similar structure, we can see that the first equation should be \( x + y = 55 \) and the second equation should be \( 100x + 500y = 4300 \). If you have to choose from the options given, none of them are correct. The correct system should be: - \( x + y = 55 \) - \( 100x + 500y = 4300 \)