document.write( "Question 568268: how do you make a system of equations out of a word problem? \n" ); document.write( "
Algebra.Com's Answer #366909 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Making a system of equations from a word problem is very easy and you have to read slowly and in parts.\r \n" ); document.write( "\n" ); document.write( "2000 tickets were sold in an exhibition on Saturday. The cost of a ticket for an adult is $4 and for a child is $2. The total amount collected on Saturday was $6400. Find the number of adult tickets and child tickets sold on Saturday.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1. Generally there will will be two conditions in a problem. I will explain with the help of the problem\r \n" ); document.write( "\n" ); document.write( "2. First find out what we have to find out in the problem.\r \n" ); document.write( "\n" ); document.write( "In the problem we have to find the number of adult tickets & the number of child tickets sold. \n" ); document.write( " Assume one as x numbers and the other as y numbers \n" ); document.write( "let adult tickets sold be x and child tickets sold be y.\r \n" ); document.write( "\n" ); document.write( "3. Read the first condition. It says total tickets sold = 2000\r \n" ); document.write( "\n" ); document.write( "so x+y =2000 ------------------------(1) \n" ); document.write( "4. Read the second condition. It gives the cost of each adult ticket and the cost of each child ticket. \n" ); document.write( "5. there are x adults and y children. Adult ticket is $4 & child ticket is $2\r \n" ); document.write( "\n" ); document.write( "The amount obtained from selling these tickets is $6400\r \n" ); document.write( "\n" ); document.write( "amount from sale of adult tickets + the amount obtained from child tickets = total money accrued.\r \n" ); document.write( "\n" ); document.write( "one adult ticket cost $4 so amount = 4x \n" ); document.write( "one child ticket costs $2 so amount = 2y\r \n" ); document.write( "\n" ); document.write( "4x+2y= 6400\r \n" ); document.write( "\n" ); document.write( "Now you have two equations to solve for x & y. \n" ); document.write( "The equations are \n" ); document.write( "x+y =2000 \n" ); document.write( "4x+2y=6400\r \n" ); document.write( "\n" ); document.write( "Solve for x & y and you have walked through the problem.\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |