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The problem asks you to mix two coffees (A and B) to obtain 100 pounds of a blend. If \( x \) represents the number of pounds of coffee A, you are asked to write an algebraic expression for the number of pounds of coffee B.

Since the total weight of the blend is 100 pounds, the number of pounds of coffee B can be expressed as the remaining amount after using \( x \) pounds of coffee A.

Thus, the algebraic expression for the number of pounds of coffee B is:

\[
100 - x
\]

Would you like more details or have any other questions?

Here are 5 related questions for practice:
1. If \( x = 40 \), how many pounds of coffee B are used?
2. If you use 75 pounds of coffee A, how many pounds of coffee B will be needed?
3. Can you create a graph representing the relationship between \( x \) (pounds of coffee A) and pounds of coffee B?
4. If the total blend is increased to 150 pounds, how would the expression for coffee B change?
5. What is the maximum value \( x \) can take, and why?

**Tip:** In linear mixture problems like this, the sum of the parts is equal to the whole, which can be directly translated into algebraic equations.

Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffee A, write an algebraic expression that represents the number of pounds of coffee B.

Learn how to write an algebraic expression representing the number of pounds of coffee B when mixing two types of coffee to make a 100-pound blend. This algebra problem involves key concepts from linear equations and is suitable for students in Grades 7-9.

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