The player of a trivia game receives 100 points for each correct answer and loses 25 points for each incorrect answer. Leona answered a total of 30 questions and scored a total of 2125. Find the number of correct and incorrect answers that she had.
Use a system of equations.
x = number of correct answers y = number of incorrect answers x + y = 30 {there were 30 total questions} 100x  25y = 2125 {100 points for correct answer and 25 points for incorrect answer} 100x  100y = 3000 {multiplied top equation by 100} 100x  25y = 2125 {bottom equation stays the same}  125y = 875 {added the two equations} y = 7 {divided each side by 125} x + y = 30 {first original equation} x + 7 = 30 {substituted 7, in for y, into first original equation} x = 23 {subtracted 7 from each side} 23 correct answers 7 incorrect answers Ask Algebra House
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