SOLUTION: Thad has scores of 87, 83, and 80 on his first three algebra tests. What score must he get on the fourth test to have an average of 82 or higher for the four tests?

Algebra ->  Inequalities -> SOLUTION: Thad has scores of 87, 83, and 80 on his first three algebra tests. What score must he get on the fourth test to have an average of 82 or higher for the four tests?      Log On


   

Question 116987: Thad has scores of 87, 83, and 80 on his first three algebra tests. What score must he get on the fourth test to have an average of 82 or higher for the four tests?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=score of fourth

Remember, the average of the scores is simply the sum of the scores divided by the number of tests taken. So our inequality looks like this:
%2887%2B83%2B80%2Bx%29%2F4%3E=82



87%2B83%2B80%2Bx%3E=328 Multiply both sides by 4



x%2B250%3E=328 Combine like terms on the left side


x%3E=328-250Subtract 250 from both sides


x%3E=78 Combine like terms on the right side

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Answer:
So our answer is x%3E=78


So he needs at least a 78 to have an average of 82 or higher