Question
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.
)) 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
)) 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
Answers
GPT-4o mini
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:
\[
\boxed{14(x - 6) = 504}
\]
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:
\[
\boxed{14(x - 6) = 504}
\]