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. 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 x y = 100, 5x 2y = 29 5x y = 29, 2y x = 100 2x y = 100, 5y x = 29

Answer 1

The correct answer is x + y = 29, 5x + 2y = 100

Answer 2

From the conditions given, the total number of the problems should be 29. This means that the sum of x and y should be 29. With this and the point-system, the best system of equation that is useful for this problem is,
x + y = 29
5x + 2y = 100
The answer is the second choice.