A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of each point value are on the test?

Question

algebra

Answer 1

x is problems cost 5 points, then (38 - x) is problems cost 2 points.

Equation: 5x + 2(38 - x) = 100; 3x = 24; x = 8 5 points problem and 38 - 8 = 30 problems cost 2 points