document.write( "Question 1110009: Gilbert makes frequent calls from country A to country B. His calling plan costs $5.00 per month plus 7¢ per minute for calls made to a landline and 17¢ per minute for calls made to a wireless number. One month his bill was $55.50. If he talked for a total of 350 min, how many minutes were to a landline and how many minutes to a wireless number? \n" ); document.write( "
Algebra.Com's Answer #725035 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "The given problem is equivalent to this system of 2 equations in 2 unknowns\r\n" ); document.write( "\r\n" ); document.write( " x + y = 350, (1) (counting minutes)\r\n" ); document.write( "7x + 17y = 5550 - 500 (2) (counting dollars and cents)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "After substitution y = 350 - x from the first equation to the second equation, the system is reduced to a single equation for only ONE unknown\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "7x + 17*(350-x) = 5050,\r\n" ); document.write( "\r\n" ); document.write( "7x + 17*350 - 17x = 5050,\r\n" ); document.write( "\r\n" ); document.write( "-10x = 5050 - 17*350 = -900 ====> x = 90.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. 90 landline minutes and the rest 350-90 = 260 wireless minutes.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved. // On the way, you learned on how the Substitution method works.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------- \n" ); document.write( "To see other similar solved problems, look into the lessons\r \n" ); document.write( "\n" ); document.write( " - Oranges and grapefruits \r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on tickets \r \n" ); document.write( "\n" ); document.write( " - Three methods for solving standard (typical) problems on tickets\r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on shares \r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on investment\r \n" ); document.write( "\n" ); document.write( " - Two mechanics work on a car \r \n" ); document.write( "\n" ); document.write( " - The Robinson family and the Sanders family each used their sprinklers last summer\r \n" ); document.write( "\n" ); document.write( " - Roses and vilolets \r \n" ); document.write( "\n" ); document.write( " - Counting calories and grams of fat in combined food\r \n" ); document.write( "\n" ); document.write( " - HOW TO algebreze and solve this problem on 2 equations in 2 unknowns \r \n" ); document.write( "\n" ); document.write( " - One unusual problem to solve using system of two equations \r \n" ); document.write( "\n" ); document.write( " - Solving mentally word problems on two equations in two unknowns \r \n" ); document.write( "\n" ); document.write( " - Solving systems of non-linear equations by reducing to linear ones \r \n" ); document.write( "\n" ); document.write( " - System of equations helps to solve a problem for the Thanksgiving day\r \n" ); document.write( "\n" ); document.write( " - Using system of two equations to solve the problem for the day of April, 1 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on solving systems of two linear equations in two unknowns\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |