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 Tisha's 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?


Let's solve this step-by-step.

### Step 1: Define variables
Let $ x $ represent the **normal cost for an individual**.

### Step 2: Understand the group package cost
According to the problem, the cost per person with the group package is $5 less than the normal cost. Thus, the cost per person in the group is:
\[
x - 5
\]

### Step 3: Set up the equation
There are 12 scouts in Tisha's troop, and the total cost for the group is $150. Therefore, the total cost for all 12 scouts is:
\[
12 \times (x - 5) = 150
\]

### Step 4: Solve the equation
First, expand the equation:
\[
12x - 60 = 150
\]

Now, add 60 to both sides:
\[
12x = 210
\]

Finally, divide by 12 to find $ x $:
\[
x = \frac{210}{12} = 17.5
\]

### Conclusion:
The normal cost for an individual is **$17.50**.

Would you like any further details or explanations on the steps?

Here are 5 related questions for you:
1. What would the total cost be if there were 15 scouts in the troop?
2. If the normal cost increased by $2, how would that affect the group package cost?
3. How much would one scout save with the group package compared to the normal cost?
4. If the group package cost was reduced by $1, what would the new total cost for the troop be?
5. What is the percentage discount the group package offers per person compared to the normal cost?

**Tip:** Always define variables when solving word problems—it helps organize your thoughts and keep track of the quantities you're dealing with.

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 Tisha's 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?

Discover how to determine the normal cost for an individual at Swing Time zip-line park when given the total group cost and the discount. Learn step-by-step how algebra and linear equations are used to solve this real-world problem. Perfect for students in Grades 6-8.

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