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kirill115 [55]
3 years ago
11

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers.

If a player answered 404040 questions and obtained a score of 505050, how many questions did the player answer correctly
Mathematics
1 answer:
labwork [276]3 years ago
8 0

Answer:

30

Step-by-step explanation:

A player answers x correct questions and y incorrect questions for a total of 40 questions.

x + y = 40

The score is obtained by subtracting y incorrect answers from two times the x of correct answers.  The player's score is 50.

2x - y = 50

Use substitution to solve.  Rearrange the first equation so that it is equal to y.  Then, substitute the y-value into the second equation.

x + y = 40

y = 40 - x

2x - y = 50

2x - (40 - x) = 50

2x - 40 + x = 50

3x - 40 = 50

3x = 90

x = 30

Since x was made to represent correct answers, the player had 30 correct answers.

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Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

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