Skies travel charges two-fifty for a plane ticket and $28 per day for rental car. For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental. What is the minimum number of days in martin's vacation should be or r&r travel to be a better deal for him?

Respuesta :

Given :

Skies travel charges two-fifty for a plane ticket and $28 per day for rental car.

For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental.

To Find :

The minimum number of days in martin's vacation should be or r&r travel to be a better deal for him.

Solution :

Let, minimum number of days are x.

So, cost charged by Skies travel is, [tex]c_1 = 25+28x[/tex]

Cost charged by r&r travels is, [tex]c_2 = 305 + 23x[/tex]

r&r should be better deal when :

[tex]c_2 < c_1\\\\305 + 23x <25 + 28x\\\\5x >280\\\\x>56[/tex]

So, for better deal at r&r minimum number of vacation days is 57.

Hence, this is the required solution.