Word problem algebra 1

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&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&N Travel to have the better deal?

Answer 1

Hello, thank you for taking the time to post your question!

The key on this type of question is to set up an algebraic expression to compare the two options. So we have

Cost of ABC Travel = 295 + 39d

Cost of MN Travel = 350 + 33d

Then we’re looking for the value of “d” that makes those underlying costs equal … and anything above that will make MN a better deal.

295 + 39d = 350 + 33d

6d = 55

d = 55/6 = 9.167

What that means is that any vacation that is 10 days or longer will make MN the better deal for this scenario

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

The answer is 9 days.  Set it up as 295 +39x=350 +33x. Solve for x