Anna wants to download some songs from a music service. The service charges $0.89 per song plus an $8 signup fee. If Anna has a budget of $50, what is the maximum number of songs can she downlaod

To solve this problem, we can create an equation based on the given information.

### Given:
- Each song costs $0.89.
- There is a signup fee of $8.
- Anna's total budget is $50.

### Step 1: Formulate the equation.
Let $ x $ represent the number of songs Anna can download. The total cost would be the cost of downloading $ x $ songs plus the signup fee, so the total cost is:

\[
\text{Total Cost} = 0.89x + 8
\]

Anna's budget is $50, so we need to solve:

\[
0.89x + 8 \leq 50
\]

### Step 2: Solve for $ x $.
First, subtract 8 from both sides:

\[
0.89x \leq 50 - 8
\]

\[
0.89x \leq 42
\]

Now, divide both sides by 0.89:

\[
x \leq \frac{42}{0.89} \approx 47.19
\]

Since $ x $ must be a whole number, we round down to 47.

### Conclusion:
Anna can download a maximum of **47 songs** within her $50 budget.

---

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. What if the signup fee was reduced to $5, how many songs could Anna download?
2. If Anna had only $40, how many songs could she download under the same conditions?
3. If each song cost $1 instead of $0.89, how many songs could Anna download with her $50 budget?
4. How much would Anna spend if she downloaded 30 songs?
5. What is the minimum budget Anna would need to download 60 songs?

**Tip:** When dealing with a budget problem, isolate the variable by subtracting fixed costs (like signup fees) first, then divide by the per-unit cost.

Anna wants to download some songs from a music service. The service charges $0.89 per song plus an $8 signup fee. If Anna has a budget of $50, what is the maximum number of songs she can download?

Learn how to calculate the maximum number of songs Anna can download from a music service within her $50 budget. This step-by-step solution involves linear equations, inequalities, and basic budgeting concepts. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation