A number divided by eight, plus seven, is fifty.

Let's solve the equation step by step.

Given:
\[
\frac{x}{8} + 7 = 50
\]

### Step 1: Subtract 7 from both sides of the equation
\[
\frac{x}{8} = 50 - 7
\]
\[
\frac{x}{8} = 43
\]

### Step 2: Multiply both sides by 8 to solve for \( x \)
\[
x = 43 \times 8
\]
\[
x = 344
\]

So, the number is **344**.

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

Here are 5 related questions:
1. What if the equation was \(\frac{x}{8} + 7 = 40\)?
2. How do you solve \(\frac{x}{5} + 10 = 45\)?
3. What is the effect of changing the divisor from 8 to 4?
4. How do you solve an equation where the number is divided by a variable?
5. Can you explain how to check if your solution is correct?

**Tip:** Always double-check your solution by substituting the value back into the original equation.

Learn how to solve the equation where a number divided by eight, plus seven, equals fifty. This problem involves basic arithmetic and equation solving techniques. Suitable for students in Grades 5-7.

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