contestada

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

Respuesta :

MrRoyal

Answer:

3 days in Orlando and 4 days in Tampa

Step-by-step explanation:

Represent Tampa with T and Orlando with L

Given

[tex]Cost\ in\ T = 275[/tex]

[tex]Cost\ in\ L = 400[/tex]

[tex]Total = 2300[/tex]

[tex]Days = 7[/tex]

Required

Solve for T and L

We start by representing the given data, algebraically;

In terms of days:

[tex]T + L = 7[/tex]

In terms of cost:

[tex]275T + 400L = 2300[/tex]

Make T the subject in (1)

[tex]T = 7 - L[/tex]

Substitute in (2)

[tex]275(7 - L) + 400L = 2300[/tex]

[tex]1925 - 275L + 400L = 2300[/tex]

Collect Like Terms

[tex]- 275L + 400L = 2300 - 1925[/tex]

[tex]125L = 375[/tex]

Divide through by 125

[tex]L = 375/125[/tex]

[tex]L = 3[/tex]

Recall that

[tex]T = 7 - L[/tex]

[tex]T = 7 - 3[/tex]

[tex]T = 4[/tex]

This implies 3 days in Orlando and 4 in Tampa

Otras preguntas