SOLUTION: on a trivia game show, a contestant will answer 21 questions. A maximum of 200 points can be earned. Some questions are worth 10 points and some are worth 8 points. How many of eac

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Question 561917: on a trivia game show, a contestant will answer 21 questions. A maximum of 200 points can be earned. Some questions are worth 10 points and some are worth 8 points. How many of each point-value question must the contestant answer to earn the maximum number of points?
please help my on this word problem? i have to show work to.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


This is exactly the same as a "two kinds of coins in a pig bank" problem. You have to derive an equation that relates to the total NUMBER of the two things and then an equation that relates to the total VALUE of the two things. In this case, the value is expressed in points, but the idea and the process are the same.

Let represent the number of 8 point questions and represent the number of 10 point questions. Then the point value of all of the 8 point questions is and the point value of all of the 10 point questions is . The total NUMBER of questions is 21 and the total point VALUE of all the questions is 200, so:





Just solve the 2X2 linear system.

John

My calculator said it, I believe it, that settles it
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