Question

Your math teacher tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worth either 5 points or 2 points. Because you are studying systems of linear equations, your teacher says that for extra credit you can figure out how many problems of each value are on the test. How many of each value are there?

Answer 1

let the number of 5 pointers be x
let the number of 3 point questions be y

x + y = 38
5x + 3y = 100

Since "you are studying systems of linear equations, your teacher says that for extra credit you can figure out how" to solve this.

Answer 2

OOPS, misread your questions, should have put on my reading glasses.

change "3 point question" to "2 point question" and the last equation to

5x + 2y = 100