SOLUTION: On her last two math tests, Larisa had scores of 83 and 92. Assuming that Larisa cannot score above a 100 on any given test, determine all possible scores Larisa can score to avera

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Question 210717: On her last two math tests, Larisa had scores of 83 and 92. Assuming that Larisa cannot score above a 100 on any given test, determine all possible scores Larisa can score to average at least a 90 on all three tests. Represent your answer algebraically
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the average of the three test scores and let x = the third test score.
%2883%2B92%2Bx%29%2F3+%3E=+90 The average on all three tests is at least 90.
%28175%2Bx%29%2F3+%3E=+90 Multiply both sides by 3.
175%2Bx+%3E=+270 Subtract 175 from both sides.
x+%3E=+95 x is at least 95.
Lara must score: 95, 96, 97, 98, 99, or 100 on her third test.