x + y = 15 and 5x + 10y = 100 are the system of equations that represent this situation
Solution:
Let "x" be the number of multiple choice questions
Let "y" be the number of short answer questions
Worth of 1 multiple choice questions = 5 points
Worth of 1 short answer question = 10 points
Ms. Lee wrote a test with 15 multiple choice short answer questions
Therefore,
number of multiple choice questions + number of short answer questions = 15
x + y = 15 -------- eqn 1
The maximum number of points possible on the test is 100
Therefore, we frame a equation as:
number of multiple choice questions x Worth of 1 multiple choice questions + number of short answer questions x Worth of 1 short answer question = 100
[tex]x \times 5 + y \times 10=100[/tex]
5x + 10y = 100 ------- eqn 2
Thus eqn 1 and eqn 2 are the system of equations that represent this situation
