The black mug holds 32 ounces.  This is 2 ounces more than  5 times the amount of liquid the green mug can hold.  How many ounces does the green mug hold?

Let's set up an equation to solve this problem.

Let \( x \) represent the number of ounces the green mug can hold.

According to the problem:
- The black mug holds 32 ounces.
- The black mug holds 2 ounces more than 5 times the amount the green mug holds.

This can be written as:
\[
32 = 5x + 2
\]

Now, let's solve for \( x \).The green mug can hold **6 ounces** of liquid.

Would you like further explanations or have any more questions? Here are some related questions you might consider:

1. How would the equation change if the black mug held 40 ounces?
2. What if the black mug held twice the amount the green mug holds, plus 10 ounces?
3. How can you check your solution by substituting the value back into the equation?
4. What is the difference in capacity between the black mug and the green mug?
5. How would you solve the problem if the black mug held a different amount?

**Tip:** When solving word problems, carefully translate the relationships into equations step by step to avoid errors.

Learn how to solve a linear equation to determine the capacity of the green mug, given that the black mug holds 32 ounces. This problem involves setting up and solving a linear equation. Suitable for students in Grades 6-8.

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