Word Problem:
An amusement park charges admission plus a fee for each ride you go on. 2 admissions and 5 rides cost $22. 2 admissions and 6 rides cost $24. What is the charge for 1 admission and the charge for 1 ride?

Question

Word Problem:
An amusement park charges admission plus a fee for each ride you go on.  2 admissions and 5 rides cost $22.  2 admissions and 6 rides cost $24.  What is the charge for 1 admission and the charge for 1 ride?

anonymous · Answer

This almost sounds like a series of linear equations...does that sound familiar to you?

anonymous · Answer

sorry, but i have no clue, that's why i need help.

anonymous · Answer

You have two equations and two variables...let's try to solve them together.

anonymous · Answer

We'll let a = cost of admission and r=cost of a ride.

So we have$$2a+6r=24$$$$2a+5r=22$$
If we subtract the top line (column by column) from the bottom line, we have$$r=2$$
So the cost per ride is $2.

Plug this back into either equation and that will get you the cost per admission.

The question wants to know the cost for 1 admission and 1 ride.  That will be $$a+r$$once you find each...

anonymous · Answer

Thanks so much for your help!