Question

mr. martin’s math test, which is worth 100 points, has 29 problems. each problem is worth either 5 points or 2 points. let x be the number of questions worth 5 points and let y be the number of questions worth 2 points. x y = 29, 5x 2y = 100 how many problems of each point value are on the test? 10 problems worth 5 points and 25 problems worth 2 points 14 problems worth 5 points and 15 problems worth 2 points 16 problems worth 5 points and 13 problems worth 2 points 15 problems worth 5 points and 13 problems worth 2 points

Answer 1

The Answer would be 14 problems worth 5 points and 15 problems worth 2 points

Answer 2

Let x and y be the numbers of questions worth 5 and 2, respectively. There are a total of 29 questions which means that x + y should be 29. The equations that best describe the conditions are,
                                      x + y = 29
                                     5x + 2y = 100
Solving for x and y gives x = 14 and y = 15. Thus, there are 14 and 15 questions worth 5 and  2, respectively.