document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #159204 by Earlsdon(6294) $\"\"$ $\"About$

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Find the average of the three test scores and let x = the third test score.
\n" ); document.write( " $\"%2883%2B92%2Bx%29%2F3+%3E=+90\"$ The average on all three tests is at least 90.
\n" ); document.write( " $\"%28175%2Bx%29%2F3+%3E=+90\"$ Multiply both sides by 3.
\n" ); document.write( " $\"175%2Bx+%3E=+270\"$ Subtract 175 from both sides.
\n" ); document.write( " $\"x+%3E=+95\"$ x is at least 95.
\n" ); document.write( "Lara must score: 95, 96, 97, 98, 99, or 100 on her third test. \n" ); document.write( "

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