Ms. Euclid is creating a math test with the following parameters:

Question

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.

If x = the number of multiple choice questions and y = the number of short answer questions, then which system of equations represents this situation?

A. x-y=26 , 3x+5y=100
B. x+y=26 , 5x+3y=100
C.x+y=26 , 3x+5y=26
D.x+y=100 , 3x+5y=26

Answer 1

B. x+y=26 , 5x+3y=100