Problema Solution

Reggi receives three points for each correct answer on a test and loses one point for each incorrect answer. He answered all 40 questions on the test and received 60 points. Write a system of equations to find the number of correct and incorrect answered Reggie got on the Test.

Answer provided by our tutors

let


x = the number of correct answers


y = the number of incorrect answers


x + y = 40 (since the total number of questions answered is 40)


3*x - 1*y = 60 (he received 60 points)


by solving the system of equations:


x + y = 40


3*x - 1*y = 60


we find:


x = 25 correct answers


y = 15 incorrect answers


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Reggie had 25 correct answers and 15 incorrect.