document.write( "Question 5033: a jar contains 5-gram bolts and 10-gram bolts. the contents of the jar weigh 2.35 KG (1000g=1KG). if there are 300 bolts altogether, how many are there of each kind? \n" ); document.write( "
Algebra.Com's Answer #2512 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let x = # of 5-gm bolts. \n" ); document.write( "Let y = # of 10-gm bolts.\r \n" ); document.write( "\n" ); document.write( "x + y = 300 The total number of bolts. Rewrite as: x = 300-y \n" ); document.write( "5gm(x) + 10gm(y) = 2.35 kgm Substitute the x from above. \n" ); document.write( "5gm(300-y) + 10gm(y) = 2,350 gm Simplify and solve for y. \n" ); document.write( "1,500 gm - 5gm(y) + 10gm(y) = 2,350 gm Subtract 1,500 gm from both sides & simplify. \n" ); document.write( "5gm(y) = 850 gm. Divide both sides by 5 gm. \n" ); document.write( "y = 170 The number of 10-gm bolts. \n" ); document.write( "x = 300-y \n" ); document.write( "x = 300-170 \n" ); document.write( "x = 130 The number of 5-gm bolts.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |