Your teacher is giving you a test worth 150 points. Some questions are worth 3 points and the rest are worth 5 points. There are 46 questions on the test. How many of each type of question are on the test

Set up a system of equations with x being 5 point questions, and y being 3 point questions

x+y=46

5x+3y=105

from here you can set y= 46-x

5x+ 3(46-x)= 150

2x+138= 150

x=6, meaning there are 6 5 point questions

that means there has to be 40 3 point questions

40 3 point questions and 6 5 point questions