Steven had a part time job over summer. He spent 
5
7
 of his earnings on a $250 fishing rod. How much did he earn from his job in total? (please explam the formula)

Let's break down the problem step by step:

### Step 1: Understanding the relationship
Steven spent $ \frac{5}{7} $ of his earnings on a $250 fishing rod. This means that $250 represents $ \frac{5}{7} $ of his total earnings.

### Step 2: Representing the total earnings
Let $ x $ represent Steven's total earnings from his job. Based on the information, we can set up the following equation:
\[
\frac{5}{7} \times x = 250
\]

### Step 3: Solving for $ x $
To find Steven's total earnings, solve for $ x $ by isolating it on one side of the equation:
\[
x = \frac{250}{\frac{5}{7}} = 250 \times \frac{7}{5}
\]
Now, multiply:
\[
x = 250 \times \frac{7}{5} = \frac{250 \times 7}{5} = \frac{1750}{5} = 350
\]

### Conclusion:
Steven earned a total of **$350** from his job.

Would you like further details or clarifications?

Here are some related questions:
1. If Steven had spent $ \frac{3}{4} $ of his earnings on the fishing rod, how much would he have earned?
2. What if the fishing rod cost $300 instead? How would the total earnings change?
3. How much money did Steven have left after buying the fishing rod?
4. If Steven earned $350 in 10 weeks, how much did he earn per week?
5. If Steven saved $ \frac{2}{7} $ of his earnings, how much did he save?

**Tip**: To isolate a variable in an equation involving fractions, multiply by the reciprocal of the fraction.

Steven had a part time job over summer. He spent 5/7 of his earnings on a $250 fishing rod. How much did he earn from his job in total?

Learn how to calculate total earnings when Steven spends 5/7 of his income on a $250 fishing rod. This problem involves algebraic concepts, ratios, and proportional reasoning. Detailed step-by-step solution for students in Grades 6-8.

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