Question

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece. Write an equation in Standard Form that would model this situation. Provide at least three combinations of 2-point questions x and 4-point questions y.

Answer 1

Answer:

2x+2y = 100

Step-by-step explanation:

Total number of points in the test = 100points

If the test has x questions worth 2 points apiece, then the total number of points for x questions with 2 points each will be 2 * x i.e 2x........  1

Also, if y questions worth 4 points apiece then the total number of points for y questions with 4 points each will be 4 * x i.e 4x ....... 2

Total points = eqn 1 + eqn 2

100 = 2x+ 2y

Rearrange

2x+2y = 100

Hence an equation in Standard Form that would model this situation is 2x+2y = 100