Rose and her four friends went out for lunch.

The total bill for the lunch was $67.20.

Rose was the only one to have a cup of coffee.

She paid $4 for her coffee and the rest of the bill was shared equally.

Which expression shows the total amount of money Rose paid for her lunch?

Complete correctly:

The total amount Rose paid for her lunch is equal to:

a) (67.20 – 4) ÷ 5
b) (67.20 + 4) ÷ 5
c) (67.20 + 4) ÷ 5 - 4
d) (67.20 – 4) ÷ 5 + 4 

Let's break down the problem step by step.

1. **Total bill:** $67.20.
2. **Rose's coffee cost:** $4.
3. **Amount to be shared by the five friends (excluding Rose's coffee):** 
   \[
   67.20 - 4 = 63.20
   \]
4. **Amount each friend (including Rose) pays for the shared portion:** 
   \[
   \frac{63.20}{5} = 12.64
   \]

So, the total amount Rose paid for her lunch is the sum of the amount she paid for her coffee and the amount she contributed to the shared bill:
\[
\text{Total amount Rose paid} = 12.64 + 4 = 16.64
\]

The correct expression from the given options is:
\[
\text{d) } \frac{67.20 - 4}{5} + 4
\]

This expression correctly accounts for the shared portion and adds the cost of the coffee.

Would you like a detailed explanation or have any questions?

Here are 5 related questions to expand your understanding:
1. If another friend joined them and Rose still only paid for her coffee, how would the expression change?
2. What if Rose's coffee was $5 instead of $4? How would that affect the amount she paid?
3. Suppose Rose decided to pay the entire bill. How much would each of her friends owe her?
4. If the shared bill had a 10% tip added, how would this affect the amount each friend paid?
5. How much would each friend have paid if the $4 coffee was shared equally instead?

**Tip:** Always isolate individual expenses first when dealing with shared bills, as it simplifies the calculations.

Rose and her four friends went out for lunch. The total bill for the lunch was $67.20. Rose was the only one to have a cup of coffee. She paid $4 for her coffee and the rest of the bill was shared equally. Which expression shows the total amount of money Rose paid for her lunch?

Determine how much Rose paid for lunch by sharing the remaining bill after her coffee cost with her friends. This problem covers basic arithmetic concepts, including addition, subtraction, and division, suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation