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? Choices: (A)6x - 14 = 504 (B)14x - 6 = 504 (C)14(x - 6) = 504 (D)6(x - 14) = 504

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?   Choices: (A)6x - 14 = 504 (B)14x - 6 = 504 (C)14(x - 6) = 504 (D)6(x - 14) = 504

Bytelearn · Accepted Answer

Understand the problem:  Step 1: Understand the problem and set up the equation. Gwen's scout troop is buying a group package for 504 dollars for 14 people. This is 6 dollars less per person than the normal cost. Let x be the normal cost per person. So, each person in the group package is paying (x - 6) dollars. The total cost for 14 people would then be 14 times (x - 6) dollars. Write the equation:  Step 2: Write the equation. The total cost for the group package is given as 504 dollars. Therefore, the equation is 14(x - 6) = 504. Check against choices:  Step 3: Check the equation against the choices. Comparing the derived equation with the given choices, it matches with choice (C) which is 14(x - 6) = 504.

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