document.write( "Question 153482: Please help me with some word problems. I have tried for several hours and cant figure out where to begin. \r
\n" ); document.write( "\n" ); document.write( "Your family is planning a 7 day vacation in Florida. You estimate that it will cost $275 per day in Tampa and $400 per day in Orlando. Your total budget is $2300 for the whole trip. How many days should you spend at each location?\r
\n" ); document.write( "\n" ); document.write( "Thank you.
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Algebra.Com's Answer #113005 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
There are 7 days you can either pick in Tampa or Orlando.
\n" ); document.write( "Let's call the number of days in Tampa, T, and the number of days in Orlando, R.
\n" ); document.write( "We know
\n" ); document.write( "1.\"T%2BR=7\"
\n" ); document.write( "We also know that we have to meet the $2300 budget.
\n" ); document.write( "Each day in Tampa cost $275/day.
\n" ); document.write( "The total cost is the number of days in Tampa multiplied by 275 or 275*T
\n" ); document.write( "Each day in Orlando cost $400/day.
\n" ); document.write( "The total cost is the number of days in Orlando multiplied by 400 or 400*R,.
\n" ); document.write( "The grand total equals $2300.
\n" ); document.write( "2.\"275%2AT%2B400%2AR=2300\"
\n" ); document.write( "Use eq.1 to solve for R as a function of T.
\n" ); document.write( "1.\"T%2BR=7\"
\n" ); document.write( "\"R=7-T\"
\n" ); document.write( "Now substitute this expression into 2.
\n" ); document.write( "2.\"275%2AT%2B400%2AR=2300\"
\n" ); document.write( "\"275%2AT%2B400%2A%287-T%29=2300\"
\n" ); document.write( "\"275%2AT%2B2800-400T=2300\"
\n" ); document.write( "\"-125T=-500\"
\n" ); document.write( "\"T=4\"
\n" ); document.write( "Since
\n" ); document.write( "\"R=7-T\"
\n" ); document.write( "\"R=3\"
\n" ); document.write( "4 days in Tampa, 3 days in Orlando.
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