Can you help me solve this?

Question

Sam is planning a ski trip and wants to figure out which mountain offers the best deal. Sam needs to rent skis and buy a lift ticket. He reserched his options, and he found the following deals:

 

1) Zippy Ski Slopes Rental Package $5 + $5 per hour for rental

 

2) Cruising Ski Slopes Rental Package $20 + $2 per hour for rental

 

Under what circumstances are the costs for the ski packages the same, and what will that cost be?

Answer 1

The first thing we need to do is to write out an equation for the cost at each spot.

1) Zippy Ski cost=5+5*x, where x is the number of hours renting

2) Cruising Ski Slopes cost = 20 + 2*x, where x is the number of hours renting.

 

We want to find when the cost of each are the same, so:

5+5x=20+2x (Subtract each side by 2x and 5)

3x=15 (divide by 3)

x=5, so at 5 hours they will have the same cost. Now we need to plug that value into the equation to find the cost

5+5*5=30, so the cost will be $30.