Identify the total group cost

Oct 13, 2025 by talynt.org 93 views

Understanding the Problem

Key Phrase: Evenly Dividing the Group Rate Cost

The key phrase in this problem is "evenly dividing the group rate cost." This phrase indicates that the cost of the group entrance to the zoo will be divided equally among the four friends, including Juno.

Action to Take: Writing an Expression for Juno's Share

The action to take is to write an expression that represents how much Juno will pay. This expression should be based on the total group cost and the number of people in the group.

Writing the Expression

Let's break down the problem step by step:

Identify the total group cost: The total group cost is represented by the variable $n$ .
Identify the number of people in the group: There are four people in the group, including Juno.
Divide the total group cost by the number of people: To find Juno's share, we need to divide the total group cost ( $n$ ) by the number of people (4).

Using mathematical notation, we can write the expression as:

\frac{n}{4}

This expression represents the amount that Juno will pay.

Interpreting the Expression

The expression $\frac{n}{4}$ can be interpreted as follows:

The numerator ( $n$ ) represents the total group cost.
The denominator (4) represents the number of people in the group.
The division operation ( $\div$ ) represents the equal division of the group cost among the four friends.

Therefore, the expression $\frac{n}{4}$ represents the amount that Juno will pay, which is one-fourth of the total group cost.

Example

Suppose the total group cost is $120. To find Juno's share, we can plug in the value of $n$ into the expression:

\frac{120}{4} = 30

Therefore, Juno will pay $30.

Conclusion

In conclusion, the expression that tells how much Juno will pay is $\frac{n}{4}$ . This expression represents the amount that Juno will pay, which is one-fourth of the total group cost. By understanding the key phrase and taking the action of writing an expression, we can solve this problem and find the amount that Juno will pay.

Discussion

What if there were more people in the group? How would the expression change?
What if the total group cost were not a multiple of 4? How would the expression change?
Can you think of a real-world scenario where this problem might arise?

Solutions

If there were more people in the group, the expression would change to $\frac{n}{x}$ , where $x$ is the number of people in the group.
If the total group cost were not a multiple of 4, the expression would still be $\frac{n}{4}$ , but the result might not be a whole number.
A real-world scenario where this problem might arise is when a group of friends want to split the cost of a ticket to a concert or a sporting event.
Q&A: Dividing the Group Rate Cost for Entrance to the Zoo ===========================================================

Frequently Asked Questions

Q1: What is the key phrase in this problem?

A1: The key phrase in this problem is "evenly dividing the group rate cost." This phrase indicates that the cost of the group entrance to the zoo will be divided equally among the four friends, including Juno.

Q2: What is the action to take in this problem?

A2: The action to take is to write an expression that represents how much Juno will pay. This expression should be based on the total group cost and the number of people in the group.

Q3: How do I write the expression for Juno's share?

A3: To write the expression for Juno's share, you need to divide the total group cost ( $n$ ) by the number of people (4). The expression is $\frac{n}{4}$ .

Q4: What if there are more people in the group?

A4: If there are more people in the group, the expression would change to $\frac{n}{x}$ , where $x$ is the number of people in the group.

Q5: What if the total group cost is not a multiple of 4?

A5: If the total group cost is not a multiple of 4, the expression would still be $\frac{n}{4}$ , but the result might not be a whole number.

Q6: Can I use this expression for other real-world scenarios?

A6: Yes, you can use this expression for other real-world scenarios where a group of people want to split a cost equally. For example, a group of friends might want to split the cost of a ticket to a concert or a sporting event.

Q7: How do I interpret the expression $\frac{n}{4}$ ?

A7: The expression $\frac{n}{4}$ can be interpreted as follows:

The numerator ( $n$ ) represents the total group cost.
The denominator (4) represents the number of people in the group.
The division operation ( $\div$ ) represents the equal division of the group cost among the four friends.

Q8: What is the result of the expression $\frac{n}{4}$ ?

A8: The result of the expression $\frac{n}{4}$ is the amount that Juno will pay, which is one-fourth of the total group cost.

Q9: Can I plug in a value for $n$ to find Juno's share?

A9: Yes, you can plug in a value for $n$ to find Juno's share. For example, if the total group cost is $120, you can plug in $n=120$ into the expression to find Juno's share.

Q10: What is the final answer to this problem?

A10: The final answer to this problem is the expression $\frac{n}{4}$ , which represents the amount that Juno will pay.

Discussion

Can you think of other real-world scenarios where this problem might arise?
How would the expression change if there were more people in the group?
Can you think of a way to simplify the expression $\frac{n}{4}$ ?

Solutions

If there were more people in the group, the expression would change to $\frac{n}{x}$ , where $x$ is the number of people in the group.
If the total group cost were not a multiple of 4, the expression would still be $\frac{n}{4}$ , but the result might not be a whole number.
A real-world scenario where this problem might arise is when a group of friends want to split the cost of a ticket to a concert or a sporting event.