Problema Solution
A test consists of 50 questions. Some are multiple choice questions and some are short answer questions. Multiple choice questions are worth 1 point each and short answer questions are worth 5 points each. If the exam is worth 90 points, how many multiple choice questions are on the exam?
Answer provided by our tutors
let
m = the number of multiple choice questions
s = the number of short answer questions
a test consists of 50 questions
m + s = 50
the exam is worth 90 points
1*m + 5*s = 90
by solving the system of equations
m + s = 50
1*m + 5*s = 90
we find
m = 40 multiple choice questions
s = 10 short answer questions
click here to see the step by step solution of the system of equations