## 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 an

Question

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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Math
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2021-12-30T21:28:31+00:00
2021-12-30T21:28:31+00:00 1 Answer
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## Answers ( )

Answer: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