document.write( "Question 159538: four hot dogs and soft drink costs $6.30, whereas one hot dog and four soft drinks cost $4.20. What is the total cost of one hot dog and one soft drink \n" ); document.write( "
Algebra.Com's Answer #117639 by midwood_trail(310) ![]() You can put this solution on YOUR website! Four hot dogs and a soft drink costs $6.30, whereas one hot dog and four soft drinks cost $4.20. What is the total cost of one hot dog and one soft drink?\r \n" ); document.write( "\n" ); document.write( "Let h = hot dog\r \n" ); document.write( "\n" ); document.write( "Let s = soft drink\r \n" ); document.write( "\n" ); document.write( "4h + s = 6.30...Equation A\r \n" ); document.write( "\n" ); document.write( "h + 4s = 4.20...Equation B\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have two equations in two unknowns. The unknowns are the variables h and s.\r \n" ); document.write( "\n" ); document.write( "I will solve for s in Equation A by subtracting 4h from both sides.\r \n" ); document.write( "\n" ); document.write( "s = -4h + 6.30\r \n" ); document.write( "\n" ); document.write( "I will now replace s in Equation B with -4h + 6.30 to find the price of one hot dog.\r \n" ); document.write( "\n" ); document.write( "h + 4(-4h + 6.30) = 4.20\r \n" ); document.write( "\n" ); document.write( "h -16h + 25.2 = 4.20\r \n" ); document.write( "\n" ); document.write( "-15h = -25.2 + 4.20\r \n" ); document.write( "\n" ); document.write( "-15h = -21\r \n" ); document.write( "\n" ); document.write( "Divide both sides by -15.\r \n" ); document.write( "\n" ); document.write( "h = -21/-15\r \n" ); document.write( "\n" ); document.write( "h = 21/15\r \n" ); document.write( "\n" ); document.write( "h = 7/5\r \n" ); document.write( "\n" ); document.write( "h = $1.40\r \n" ); document.write( "\n" ); document.write( "We now know the value of one hot dog. \r \n" ); document.write( "\n" ); document.write( "Go back to EITHER Equation A or B, replace h with 1.40, do the algebra and you will find the price of one soft drink.\r \n" ); document.write( "\n" ); document.write( "I'll let you do that.\r \n" ); document.write( "\n" ); document.write( "If you get stuck, write back.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |