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.
letx 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

The System of equation is .

Step-by-step explanation:

Given:

Let 'x' be the number of questions worth 5 points.

Let 'y' be the number of questions worth 2 points

Total Number of Problems = 29

So the Total Number of Problems is equal to sum of the number of questions worth 5 points and the number of questions worth 2 points.

Framing in equation form we get;

.

Also Given:

Test is of Total Points = 100

Now Total points in test is equal to sum of the number of questions worth 5 points multiplied by  and the number of questions worth 2 points multiplied by 2.

Framing in equation form we get;

Hence The System of Equations are .

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