tisha and her scout troop are heading to the swing time zip - line park. they plan to purchase the group…

tisha and her scout troop are heading to the swing time zip - line park. they plan to purchase the group package. with the package, the cost per person is $5 less than the normal cost for an individual. there are 12 scouts in tishas troop. her troop leader called ahead and found that the total cost for the group will be $150. what is the normal cost for an individual?

tisha and her scout troop are heading to the swing time zip - line park. they plan to purchase the group package. with the package, the cost per person is $5 less than the normal cost for an individual. there are 12 scouts in tishas troop. her troop leader called ahead and found that the total cost for the group will be $150. what is the normal cost for an individual?

Answer

Explanation:

Step1: Find group - package cost per person

Let the normal cost per person be $x$ dollars. The group - package cost per person is $(x - 5)$ dollars. There are 12 scouts and the total group cost is $150$ dollars. We know that the formula for total cost is $\text{Total cost}=\text{Number of people}\times\text{Cost per person}$. So, the cost per person with the group package is $\frac{150}{12}=12.5$ dollars.

Step2: Set up an equation to find the normal cost

Since the group - package cost per person is $x−5$ and we found it to be $12.5$ dollars, we set up the equation $x−5 = 12.5$.

Step3: Solve the equation for $x$

Add 5 to both sides of the equation $x−5 = 12.5$. We get $x=12.5 + 5=17.5$.

Answer:

$17.5$