Question

Write a system of equations that can be used to find the number of questions of each type

Answer 1

We are given that the total points of the test is 150. If "x" is the number of questions worth 5 points and "y" the number of questions worth 8 points then the total number of points is:

`5x+8y=150,(1)`

We are also given that the total number of questions is 24, therefore, we have:

`x+y=24,(2)`

Therefore, the system of equations that can be used to solve for each type of question is:

`\begin{gathered} 5x+8y=150,(1) \\ x+y=24,(2) \end{gathered}`