Question

Samantha is going on vacation for the summer and is trying to choose between two different plans. The first plan costs $450 for 3 days at a hotel and 2 days at an amusement park. The second plan offers 5 days at the same hotel and 3 days at the amusement park for $700. The cost of 1 day at the hotel and the amusement park is the same under both plans. How much does a 1 day trip to the amusement park cost

Answer 1

Let h = cost of hotel per night and a = cost of amusement park for one day. Then we have two equations as follows:

$450 = 3h + 2a
$700 = 5h + 3a

multiply first eqn by 5 and second by -3

$2250 = 15h + 10 a
-$2100 = -15h - 9a

Now add them:

$150 = a

The cost of one day at the amusement park is $150.

Hope that helps!

Answer 2

thanks I understand!

Answer 3

:)