document.write( "Question 692320: Can I please get help on this question? Lin paid 42 cents for a pencil and two erasers. Kim paid 91 cents for five pencils and three erasers? What were the prices of pencils and erasers? \n" ); document.write( "
Algebra.Com's Answer #426974 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Can I please get help on this question? Lin paid 42 cents for a pencil and two erasers. Kim paid 91 cents for five pencils and three erasers? What were the prices of pencils and erasers?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let price of each pencil and each eraser be P, and E. respectively\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then: P + 2E = 42 ----- P = 42 - 2E ----- eq (i) \n" ); document.write( "Also, 5P + 3E = 91 ------ eq (ii)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5(42 - 2E) + 3E = 91 ----- Substituting 42 - 2E for P in eq (ii)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "210 - 10E + 3E = 91\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-10E + 3E = 91 - 210\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- 7E = - 119\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "E, or price of each eraser = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 42 - 2(17) ----- Substituting 17 for E in eq (i)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 42 - 34\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P, or price of each pencil = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can do the check!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |