Question

Mr. Martin’s math test which is worth 100 points has 29questions. Each problem is worth 2points or 5 points. X represents number of 5point questions and y represents questions worth 2 points. X+y=29, 5x+2y=100 How many problems of each point value are on the test?

Answer 1

Answer:there are 14 5point problems and 15 2point problems on the test.

Step-by-step explanation:

x represents number of 5 point questions and y represents questions worth 2 points.

The total number of questions in the test is 29. It means that

x + y = 29

x = 29 - y

Mr. Martin’s math test is worth 100 points. It means that

5x + 2y = 100 - - - - - - - - -1

Substituting x = 29 - y into equation 1, it becomes

5(29 - y) + 2y = 100

145 - 5y + 2y = 100

- 5y + 2y = 100 - 145

- 3y = - 45

y = - 45/-3

y = 15

x = 29 - y = 29 - 15

x = 14