document.write( "Question 571198: Monica has three times as many nickels as pennies and twice as many quarters as nickels. In all she has $3.25. How many coins of each type does she have? \n" ); document.write( "
Algebra.Com's Answer #368065 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let n = no. of nickels \n" ); document.write( "Let p = no. of pennies \n" ); document.write( "Let q = no. of quarters \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"Monica has three times as many nickels as pennies\" \n" ); document.write( "n = 3p \n" ); document.write( "or divide both sides by 3 \n" ); document.write( "p = \n" ); document.write( ": \n" ); document.write( "\" and twice as many quarters as nickels.\" \n" ); document.write( "q = 2n \n" ); document.write( ": \n" ); document.write( "\"In all she has $3.25.\" \n" ); document.write( ".01p + .05n + .25q = 3.25 \n" ); document.write( "Replace p and q from the 1st two equations \n" ); document.write( ".01 \n" ); document.write( " \n" ); document.write( "Multiply by 3 to get rid of the denominators, results: \n" ); document.write( ".01n + .15n + 1.5n = 9.75 \n" ); document.write( "1.66n = 9.75 \n" ); document.write( "n = 5.87, solution has to be an integer, so there something wrong with this problem, a fatal error as they say\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |