To solve the equation \( t = \frac{5}{6}b \) for \( b \), follow these steps:

1. Start with the equation: 
   \[
   t = \frac{5}{6}b
   \]

2. Multiply both sides of the equation by \( \frac{6}{5} \) to isolate \( b \):
   \[
   b = \frac{6}{5}t
   \]

Thus, the solution for \( b \) is:
\[
b = \frac{6}{5}t
\]

Would you like a detailed explanation of this process or any clarification?

Here are 5 related questions to consider:
1. What happens if you increase the value of \( t \)?
2. How do you solve for \( b \) if \( t \) is given as a specific number?
3. Can you express this equation graphically?
4. How would the solution change if the fraction were \( \frac{5}{7} \) instead of \( \frac{5}{6} \)?
5. How does solving for \( b \) change if the equation were \( t = \frac{5}{6} + b \)?

**Tip:** Always isolate the variable you're solving for by using inverse operations!

Learn how to solve the linear equation t = (5/6)b for b. This step-by-step solution demonstrates key algebraic techniques and concepts suitable for students in Grades 6-8.

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