  The regular admission price for an amusement park is $72. For a group of 15 or more, the admission price is reduced by $25 per person. How many people need to be in a group to save $500? 

Let's determine the number of people needed in a group to save $500. Here's the step-by-step process:

1. **Regular admission price per person**: $72
2. **Discounted admission price per person**: $ 72 - 25 = 47 $ dollars
3. **Savings per person**: $ 72 - 47 = 25 $ dollars

To find out how many people are needed to save $500, we use the equation:

\[
\text{Savings per person} \times \text{Number of people} = 500
\]

Let $ n $ represent the number of people. Then,

\[
25 \times n = 500
\]

Solving for $ n $:

\[
n = \frac{500}{25} = 20
\]

So, **20 people** need to be in the group to save $500.

Would you like more details on this calculation or have any other questions?

Here are 5 related questions you might find interesting:

1. What is the total cost for a group of 20 people with the discounted price?
2. How much would a group of 10 people save with the discounted price?
3. If the discount were $30 per person instead of $25, how many people would be needed to save $600?
4. What would be the savings for a group of 25 people?
5. How would the total savings change if the regular price increased by $10?

**Tip:** When dealing with problems involving savings or discounts, always identify the savings per unit first, then multiply by the quantity to find total savings.

Learn how to calculate the number of people needed in a group to save $500 on amusement park admission. This problem involves arithmetic calculations and discount concepts, specifically how to determine the required group size to achieve significant savings.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation