Question

A 110 point exam is made up of 50 questions. some questions are worth 2 points others are worth 4 points how many of each type of question are on the test?

Its a system of equations answer.

Answer 1

x - the number of the questions worth 2 points
y - the number of the questions worth 4 points


`x+y=50 \\ 2x+4y=110 \\ \\ \hbox{from the 1st equation:} \\ y=50-x \\ \\ \hbox{substitute 50-x for y in the 2nd equation:} \\ 2x+4(50-x)=110 \\ 2x+200-4x=110 \\ -2x=-90 \\ x=45 \\ \\ y=50-45=5`

The answer:
There are 45 questions worth 2 points and 5 questions worth 4 points.