document.write( "Question 1195906: A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $160 (without tax) and that the calculator cost $20 more than four times the cost of the textbook. What was the cost of each item \n" ); document.write( "
Algebra.Com's Answer #828526 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x = cost of the textbook \n" ); document.write( "4x = four times the cost of the textbook \n" ); document.write( "4x+20 = twenty more dollars added to the previous amount \n" ); document.write( "4x+20 = cost of the calculator\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The textbook costs x dollars. \n" ); document.write( "The calculator costs 4x+20 dollars. \n" ); document.write( "These two items add to a total cost of $160 before tax.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "textbook + calculator = total \n" ); document.write( "(x) + (4x+20) = 160 \n" ); document.write( "5x+20 = 160 \n" ); document.write( "5x = 160-20 \n" ); document.write( "5x = 140 \n" ); document.write( "x = 140/5 \n" ); document.write( "x = 28 \n" ); document.write( "The textbook costs $28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x+20 = 4*28+20 = 112+20 = 132 \n" ); document.write( "The calculator costs $132\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The total cost is 28+132 = 160 to confirm our answers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answers: \n" ); document.write( "textbook = $28 \n" ); document.write( "calculator = $132\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Side note: Desmos and GeoGebra are free online calculators that have far more features than anything a TI83 or TI84 can do. Also, they are much faster. The only drawback is that in formal test environments (eg: SATs), such online calculators are not allowed. \n" ); document.write( " \n" ); document.write( " |