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

Answer 1

Explanation:

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.

Answer 2

The correct answer is A

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