Let x be the number of multiple choice questions and y be the number of short answer questions.
The total number of questions is 26:
x + y = 26
The total number of points is 100:
3x + 5y = 100
Now we can solve these two equations simultaneously to find the values of x and y.
Using the first equation:
x = 26 - y
Substitute this value of x into the second equation:
3(26 - y) + 5y = 100
78 - 3y + 5y = 100
2y = 22
y = 11
Substitute the value of y back into x = 26 - y:
x = 26 - 11 = 15
Therefore, the answer is:
D. 15 multiple choice questions and 11 short answer questions
26 total questions,
100 total points,
multiple choice questions worth 3 points each, and
short answer questions worth 5 points each.
Ms. Euclid is trying to figure out how many of each type of question is needed on the test to meet her guidelines. She decides to set up a system of equations to solve the problem.
How many multiple choice questions and how many short answer question should Ms. Euclid put on the test to satisfy her parameters?
A. 11 multiple choice questions and 15 short answer questions
B. 20 multiple choice questions and 8 short answer questions
C. 13 multiple choice questions and 13 short answer questions
D. 15 multiple choice questions and 11 short answer questions
1 answer