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20 June, 15:18

The score on a trivia game is obtained by subtracting the number of incorrect answer from twice the number of correct answer. If a player answered 50 total question and obtained a score of 40, how many questions did the player answer correctly?

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  1. 20 June, 17:16
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    The player answer correctly 30 questions

    Step-by-step explanation:

    First we have to develop the information that gives us as 2 equations

    x = correct answer

    y = incorrect answer

    z = score = 40

    h = total answer = 50

    2x - y = z x + y = h

    2x - y = 40 x + y = 50

    we clear the x of one equation and replace the value of x in the other equation

    x = 50 - y

    2x - y = 40

    2 (50 - y) - y = 40

    100 - 2y - y = 40

    -3y = 40 - 100

    y = - 60/-3

    y = 20

    x = 50 - y

    x = 50 - 20

    x = 30
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