Problema Solution
Your math tests has 38 questions and is worth 200 points. The test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. How many of each type of question are there?
Answer provided by our tutors
Let
x = the number of multiple-choice questions, x>=0
y = the number of open-ended questions, y>=0
Your math tests has 38 question:
x + y = 38
The total number of points on the test is 200 points:
4x + 20y = 200
We have the following system of equations:
x + y = 38
4x + 20y = 200
........
click here to see the system of equations solved for x and y
........
x = 35 multiple-choice questions
y = 3 open-ended questions
There are 35 multiple-choice questions and 3 open-ended questions.