document.write( "Question 104224: Angela's average for six math tests is 86. On her first tests she had scores of 80, 88, 82, 93. On her last test, she scored 7 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests? \n" ); document.write( "

Algebra.Com's Answer #75840 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x = Angela's score on the 5th test, then (x-7) is her score on the 6th test.
\n" ); document.write( "To find the average score, you add the six scores and divide by 6.
\n" ); document.write( " $\"%2880%2B88%2B82%2B93%2Bx%2B%28x-7%29%29%2F6+=+86\"$ Add the numbers in the numerator and then multiply both sides by 6.
\n" ); document.write( " $\"343-7%2B2x+=+516\"$
\n" ); document.write( " $\"336+%2B+2x+=+516\"$ Subtract 336 from both sides.
\n" ); document.write( " $\"2x+=+180\"$ Divide both sides by 2.
\n" ); document.write( " $\"x+=+90\"$ This is Angela's score on the 5th test.
\n" ); document.write( " $\"x-7+=+83\"$ This is Angela's score on the 6th test.
\n" ); document.write( "Check:
\n" ); document.write( " $\"%2880%2B88%2B82%2B93%2B90%2B83%29%2F6+=+516%2F6\"$ = $\"86\"$ \n" ); document.write( "

\n" );