Gwen and her scout troop are heading to the Treetop Glider zip-line course. They plan to purchase the group package, which will be $504 for 14 people. That's $6 less per person than the normal cost for an individual.

Question

)) Which equation can Gwen use to find x, the normal cost of an individual?
14х - 6 = 504
14(x - 6) = 504
6х - 14 = 504
6(x - 14) = 504

Answer 1

To determine the correct equation Gwen can use to find \( x \), the normal cost of an individual, let's break down the problem.

The total cost for 14 people with the group package is $504. Given that this cost is $6 less per person than the normal cost for an individual, we can express the cost per person for the group package as \( x - 6 \), where \( x \) is the normal cost per person.

Since they are buying a package for 14 people, the total cost for the group can be expressed as: \[ 14 \times (x - 6) \]

Setting this equal to the total group package cost of $504 gives us the equation: \[ 14(x - 6) = 504 \]

Therefore, the correct choice is: \[ \boxed{14(x - 6) = 504} \]