Hans's Coffee Shop makes a blend that is a mixture of coffee types A and B . In one bag of the blend, there are 3 kilograms of type A. Four bags of the blend are a total of 36 kilograms. How many kilograms of type B are there in one bag? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 3, 4, and 36. Let $$ b $$ represent the number of kilograms of type B in one bag. (b) Solve the equation in part (a) to find the number of kilograms of type B in one bag. $$ b=\square(b+\square)=\square $$

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UpStudy AI · Accepted Answer

**Step 1: Write the Equation**

Each bag contains 3 kilograms of type A and $$ b $$ kilograms of type B, so one bag weighs  
$$
3 + b.
$$  
Since there are 4 bags weighing in total 36 kilograms, the equation is  
$$
4(3+b)=36.
$$

**Step 2: Solve the Equation**

Divide both sides by 4:  
$$
3+b = \frac{36}{4} = 9.
$$

Subtract 3 from both sides:  
$$
b = 9 - 3 = 6.
$$

Thus, there are 6 kilograms of type B in one bag.

**Filled Blanks Representation:**  
$$
4(3+b)=36.
$$
**Equation:** $$ 4(3 + b) = 36 $$ **Solution:** $$ b = 6 $$

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