https://file.aiquickdraw.com/mathbot/file/1730073575010fjytqwy3.jpg

To solve this problem, let's break down each part.

### Problem Analysis
Alonzo saves $6 per week. He has spent $90 of his savings and now has $48 left. We need to determine how many weeks he has been saving.

Let $ w $ represent the number of weeks he has been saving.

### Part (a): Setting up the Equation
Since he saves $6 per week, after $ w $ weeks, he would have saved $ 6w $ dollars. After spending $90, he has $48 remaining, so we can write this as:
\[
6w - 90 = 48
\]

The correct form is:
- **Second Option:** $ 6w - 90 = 48 $

### Part (b): Solving the Equation
Now, solve for $ w $:
1. Start with the equation:
   \[
   6w - 90 = 48
   \]
2. Add 90 to both sides to isolate terms with $ w $:
   \[
   6w = 138
   \]
3. Divide by 6:
   \[
   w = 23
   \]

### Answer
Alonzo has been saving for **23 weeks**.

Would you like further details or have any questions about this solution?

Here are five related questions to explore further:
1. What would the equation be if Alonzo saved $10 each week instead?
2. How much would Alonzo have after saving for 30 weeks if he spent $90?
3. How many weeks would Alonzo need to save to reach $200 after spending $90?
4. What is the total amount he saved if he hadn’t spent any money?
5. How would the answer change if Alonzo spent $60 instead of $90?

**Tip:** In word problems, translate each part of the scenario into mathematical terms to set up the equation accurately.

Alonzo has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been saving?

Learn how to solve a linear equation to determine the number of weeks Alonzo has been saving $6 per week after spending $90 and having $48 left. Suitable for Grade 7 students learning basic algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation