SOLUTION: Please help me with some word problems. I have tried for several hours and cant figure out where to begin. Your family is planning a 7 day vacation in Florida. You estimate tha

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Question 153482: Please help me with some word problems. I have tried for several hours and cant figure out where to begin.
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?
Thank you.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 7 days you can either pick in Tampa or Orlando.
Let's call the number of days in Tampa, T, and the number of days in Orlando, R.
We know
1.T%2BR=7
We also know that we have to meet the $2300 budget.
Each day in Tampa cost $275/day.
The total cost is the number of days in Tampa multiplied by 275 or 275*T
Each day in Orlando cost $400/day.
The total cost is the number of days in Orlando multiplied by 400 or 400*R,.
The grand total equals $2300.
2.275%2AT%2B400%2AR=2300
Use eq.1 to solve for R as a function of T.
1.T%2BR=7
R=7-T
Now substitute this expression into 2.
2.275%2AT%2B400%2AR=2300
275%2AT%2B400%2A%287-T%29=2300
275%2AT%2B2800-400T=2300
-125T=-500
T=4
Since
R=7-T
R=3
4 days in Tampa, 3 days in Orlando.