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.
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

Answer 1

A

Explanation:

Answer 2

The System of equation is
`x+y=29, 5x + 2y = 100`.

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;

`x+y=29`.

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;

`5x+2y=100`

Hence The System of Equations are
`\left \{ {{x+y=29} \atop {5x+2y=100}} \right.`.