document.write( "Question 1167716: Gabrielle can answer 12 math problems in 3/4 hour. How many problems can she answer in 4 1/4 hours? \n" ); document.write( "
Algebra.Com's Answer #792298 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you can use the rate * time = quantity formula, or you can logically deduce the following.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if she can do 12 math problems in 3/4 of an hour, then she can do 12 * 4/3 = 16 math problems in an hour.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if she can do 16 math problems in an hour, then she can 16 * (4 + 1/4) math problems in (4 + 1/4) hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 * (4 + 1/4) = 16 * 4 + 16 * 1/4 = 64 + 4 = 68 math problems in (4 + 1/4) hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can also use the rate * time = quantity formula.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula becomes rate * 3/4 = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for rate to get rate = 12 * 4/3 = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "go back to the formula again to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 * (4 + 1/4) = quantity\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for quantity to get quantity = 16 * 4.25 = 68\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she can answer 68 math problems in 4 and 1/4 hours.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |