document.write( "Question 1196509: I have been struggling with a word problem. The problem is \"Best rentals charges a daily fee plus a milage fee for renting its cars. Mateo was charged $111.00 for 3 days and 300 miles, while Dara was charged $207.00 for 5 days and 600 miles. What does Best Rentals charge per day and per mile?\" \r
\n" ); document.write( "\n" ); document.write( "I have tried to come up with an equation for this, but I've only managed to confuse myself. I have tried putting the time in as \"x\" and miles in as \"y\" and putting them equal to the total rental charge, then solving for \"x\" and \"y\". Obviously I'm not solving anything with that arrangement. I have tried making a \"tic tac toe\" table with the given data, should I be adding all my data up and using that to make a bigger equation. I am just confused with how to set this up. Any help is greatly appreciated, thank you. \n" ); document.write( "

Algebra.Com's Answer #829492 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "I have been struggling with a word problem. The problem is \"Best rentals charges a daily fee plus a milage fee for renting its cars. Mateo was charged $111.00 for 3 days and 300 miles, while Dara was charged $207.00 for 5 days and 600 miles. What does Best Rentals charge per day and per mile?\" \r
\n" ); document.write( "\n" ); document.write( "I have tried to come up with an equation for this, but I've only managed to confuse myself. I have tried putting the time in as \"x\" and miles in as \"y\" and putting them equal to the total rental charge, then solving for \"x\" and \"y\". Obviously I'm not solving anything with that arrangement. I have tried making a \"tic tac toe\" table with the given data, should I be adding all my data up and using that to make a bigger equation. I am just confused with how to set this up. Any help is greatly appreciated, thank you.
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Let daily and mileage fees be d, and m, respectively\r\n" );
document.write( "We then get: 3d + 300m = 111 ---- eq (i)\r\n" );
document.write( "       Also, 5d + 600m = 207 ---- eq (ii)\r\n" );
document.write( "             6d + 600m = 222 ---- Multiplying eq (i) by 2 ------ eq (iii)\r\n" );
document.write( "Subtracting eq (ii) from eq (iii), we get the daily fee, or  \r\n" );
document.write( "\r\n" );
document.write( "3(15) + 300m = 111 -----Substituting 15 for d in eq (i)\r\n" );
document.write( "   15 + 100m = 37 ----- Dividing each expression by GCF, 3 \r\n" );
document.write( "        100m = 22\r\n" );
document.write( "Mileage fee, or

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