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.

a. x + y = 29, 5x + 2y = 100
b. x + y = 100, 5x + 2y = 29
c. 5x + y = 29, 2y + x = 100
d. 2x + y = 100, 5y + x = 29

Answer 1

A is the correct answer

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

Answer 2

A is correct.

Explanation:

From the second sentence , we can deduce that the total number of problems is 29.

Now, x represents the number of problems that award 5 marks, while y represents the number of problems that award 2 marks.

Hence x + y = 29.

There are a total of 100 marks. This mean each x has a mark of 5, so total x marks equal 5x. Also, each y has a mark of 2. total y marks equal 2y. Since total marks equal 100. This mean 5x + 2y = 100 which gives our second equation.

This shows A is correct.