Your math instructor tells you that next week's test is worth 100 points and contains 38 problems. Each problem is worth either 5 points or 2 points. Write two linear equations based upon this information and solve the system.
How many questions of each value are on the test?
Let x be the 2 point questions and y be the 5 point questions. Write the equation can be written as the linear equation as given below.
Multiply equation(1)from equation (2),
Subtract equation(1)from equation(2),
(Divide by 3 on both sides)
Substitute 8 for y in equation (1),
x=38-8 (subtract 8 on both sides)
Thus,there are 30 questions had 2 points and 8 questions had 5 points.
The count of 2 point questions are 30 and 5 point questions are 8.