SOLUTION: If Mike bowled two games with scores of 206 and 176. What must he bowl for the third game to have a average for these three games? Need an algebraic expression.
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Question 639990: If Mike bowled two games with scores of 206 and 176. What must he bowl for the third game to have a average for these three games? Need an algebraic expression. Found 2 solutions by Edwin McCravy, solver91311:Answer by Edwin McCravy(20060) (Show Source):
You forgot to tell the average he must have. I will arbitrarily
make up 200 and assume you meant:
If Mike bowled two games with scores of 206 and 176. What must he bowl for the third game to have a average of 200 for these three games? Need an algebraic expression.
Let his third game be x. Then
average = = 200
Multiply both sides by 3
206+176+x = 600
382+x = 600
x = 218
He must bowl 218 to average 200.
Edwin
If you know the value of items, and you let the value of the item be represented by , the average, , of all items is given by:
Solving for :
For your problem you want:
Once you figure out what average you want him to achieve, you can solve for
Extra Credit: What range of values for a 3-game average would cause you to tell the person that they either needed a math tutor or were trying to cheat?
John
My calculator said it, I believe it, that settles it
