document.write( "Question 35281: Josh got a score of 67 on his first math test and a score of 78 on his
\n" );
document.write( "second math test. Each of these tests is worth 25% of his final grade. His
\n" );
document.write( "third math
\n" );
document.write( "test is worth 50% of his final grade. What score must Josh get on his third
\n" );
document.write( "math test in order to have a final grade of 85?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #21443 by narayaba(40)![]() ![]() ![]() You can put this solution on YOUR website! Let the score required by josh in the third math test to have a final grade of 85 be denoted x\r \n" ); document.write( "\n" ); document.write( "the first two math test account for 25% for his final grade and the third maath test is worth 50% for final grade\r \n" ); document.write( "\n" ); document.write( "25% is 25/100 = 1/4 and 50% is 50/100 = 1/2\r \n" ); document.write( "\n" ); document.write( "67*(1/4) + 78*(1/4) + x*(1/2) = 85\r \n" ); document.write( "\n" ); document.write( "mutliplying by 4 both sides of equation\r \n" ); document.write( "\n" ); document.write( "67*1 + 78*1 +2*x = 85*4\r \n" ); document.write( "\n" ); document.write( "145 + 2*x = 340 \n" ); document.write( "2*x = 195 \n" ); document.write( "x = 97.5 \n" ); document.write( "Josh has to score 97.5 in his third math test inorder to get 85 in his final grade \n" ); document.write( " \n" ); document.write( " |