Question

Tracey is looking at two different travel agencies to plan her vacation. ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. M and N travel offers a plane ticket for $350 and a rental car for $33 per day. What is the minimum number of days that Shirley’s vacation should be for M and N Travel to have the better deal?

Answer 1

Answer:

10 days.

Step-by-step explanation:

Let d represent number of days.

We have been given that ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. The total cost of travelling x days using ABC travel company would be $39x+295$.  

We have been given that M and N Travel offers a plane ticket for $350 and a rental car for $33 per day. The total cost of travelling x days using M and N travel company would be $33x+350$.

To make M and N travel the better deal, we will set an inequality, where total cost of x days using ABC travels is greater than M and N travels as:

$39x+295>33x+350$

$39x-33x+295>33x-33x+350$

$6x+295>350$

$6x+295-295>350-295$

$6x>55$

$\frac{6x}{6}>\frac{55}{6}$

$x>9.166$

Since the closest integer to 9.1677 is 10, therefore, for a vacation of 10 days using M and N travels will be the better deal.

Answer 2

Shirley/Tracey has to stay at least 10 days for the M and N to cost less