Question

A quiz has thirteen questions and is worth 100 points. The quiz consists of True/False questions worth5 points each, and multiple choice questions worth 10 points each. If x is the number of True/False questions, and y is the number of multiple choice questions answer the following:

1)Write a system to represent the quiz above

Answer 1

A system of equations representing the quiz consists of x + y = 13 for the total number of questions, and 5x + 10y = 100 for the total points, where x is the number of True/False questions and y is the number of multiple choice questions.

Step-by-step explanation:

To represent the quiz with a system of equations, we need two equations to reflect the total number of questions and the total points respectively. If x is the number of True/False questions worth 5 points each, and y is the number of multiple choice questions worth 10 points each, we can set up the following system:

1. x + y = 13: This equation reflects the total number of questions in the quiz.
2. 5x + 10y = 100: This equation accounts for the total points being 100, from the 5-point True/False questions and the 10-point multiple choice questions.

Therefore, the complete system to represent the quiz is:

• x + y = 13
• 5x + 10y = 100