Problema Solution

A math test has 25 problems and is worth sixty points. Some questions are worth 2 points and some are worth 3 points each. How many two point and three point questions must there be on the test ?

Answer provided by our tutors

Let

x = the number of 2 points questions

y = the number of 3 points questions

x + y = 25

2x + 3y = 60

........

click here to see the system of equations solved for x and y

........

x = 15 2-point questions

y = 10 3-point questions

There are 15 2-points questions and 10 3-point questions.