Question

Vacation Costs - 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 for the 7-days is $2,300. How many days do you spend in each location? Systems of equations only

Answer 1

Answer:

3 days in Orlando and 4 days in Tampa

Step-by-step explanation:

Represent Tampa with T and Orlando with L

Given

$Cost\ in\ T = 275$

$Cost\ in\ L = 400$

$Total = 2300$

$Days = 7$

Required

Solve for T and L

We start by representing the given data, algebraically;

In terms of days:

$T + L = 7$

In terms of cost:

$275T + 400L = 2300$

Make T the subject in (1)

$T = 7 - L$

Substitute in (2)

$275(7 - L) + 400L = 2300$

$1925 - 275L + 400L = 2300$

Collect Like Terms

$- 275L + 400L = 2300 - 1925$

$125L = 375$

Divide through by 125

$L = 375/125$

$L = 3$

Recall that

$T = 7 - L$

$T = 7 - 3$

$T = 4$

This implies 3 days in Orlando and 4 in Tampa