SOLUTION: An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many fi

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many fi      Log On


   



Question 1020394: An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many five point questions are on the test?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
An exam worth 145 points contains 50 questions. Some of the questions are worth two points and some are worth five points. How many two point questions are on the test? How many five point questions are on the test?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

 x +  y =  50,
2x + 5y = 145.

Solve this system of 2 equations in two unknowns,
and you will know how many 2-point questions x and 5-question y are in the exam.