document.write( "Question 26598: I am a mother of a 9th grade high school student trying to solve word problems. I do not know how to direct my son to the solution. Could you help me to set these problems into equations? Here are the instructions and the word problem: Write a system of equations for each problem and choose the best method to solve each system; solve and check your answers. Problem: A coin box of a vending machine contains six time as many quarters as dimes. If the total amount of money in quarters and dimes is $28.80 how many quarters and how many dimes are in the box? \n" ); document.write( "
Algebra.Com's Answer #14448 by Paul(988)![]() ![]() ![]() You can put this solution on YOUR website! Dimes = x \n" ); document.write( "Quarters = 6x \n" ); document.write( "Quarter value = 25 \n" ); document.write( "Dime vale = 10 \n" ); document.write( "TOtal = 2880\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "25(6x)+10x=2880 \n" ); document.write( "150x+10x=2880 \n" ); document.write( "160x=2880 \n" ); document.write( "x=18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6(18)=108\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, there were 18 dimes and 108 quarters. \n" ); document.write( "Paul. \n" ); document.write( " |