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

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

Answer 2

10 days.

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`

`(6x)/(6)>(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.