Question

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each point value are on the test.

Answer 1

pick 2 variables: one to represent the number of 5 point problems and another to represent the number of 2 point problems.

Equation 1:
(number of 5 point problems) + (number of 2 point problems) = number of total problems

Equation 2:
5(number of 5 point problems) + 2(number of 2 point problems) = total points on test