Questions: Gerald mixes 2/3 cup whole wheat flour and 1/2 cup buckwheat flour to make 4 pancakes. How much of each type of flour is needed to make 1 pancake? 1/6 cup whole wheat, 1/8 cup buckwheat 1/12 cup whole wheat, 1/4 cup buckwheat 1/6 cup whole wheat, 1/4 cup buckwheat 1/12 cup whole wheat, 2 cups buckwheat

Gerald mixes 2/3 cup whole wheat flour and 1/2 cup buckwheat flour to make 4 pancakes.
How much of each type of flour is needed to make 1 pancake?
1/6 cup whole wheat, 1/8 cup buckwheat
1/12 cup whole wheat, 1/4 cup buckwheat
1/6 cup whole wheat, 1/4 cup buckwheat
1/12 cup whole wheat, 2 cups buckwheat
Transcript text: Gerald mixes $\frac{2}{3}$ cup whole wheat flour and $\frac{1}{2}$ cup buckwheat flour to make 4 pancakes. How much of each type of flour is needed to make 1 pancake? $\frac{1}{6}$ cup whole wheat, $\frac{1}{8}$ cup buckwheat $\frac{1}{12}$ cup whole wheat, $\frac{1}{4}$ cup buckwheat $\frac{1}{6}$ cup whole wheat, $\frac{1}{4}$ cup buckwheat $\frac{1}{12}$ cup whole wheat, 2 cups buckwheat
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Solution

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Solution Steps

To find out how much of each type of flour is needed to make 1 pancake, we need to divide the amount of each type of flour by the number of pancakes. This will give us the amount of whole wheat flour and buckwheat flour per pancake.

Step 1: Calculate Whole Wheat Flour per Pancake

The total amount of whole wheat flour used is \( \frac{2}{3} \) cups. To find the amount needed for 1 pancake, we divide by the number of pancakes:

\[ \text{Whole Wheat Flour per Pancake} = \frac{\frac{2}{3}}{4} = \frac{2}{3} \times \frac{1}{4} = \frac{2}{12} = \frac{1}{6} \text{ cups} \]

Step 2: Calculate Buckwheat Flour per Pancake

The total amount of buckwheat flour used is \( \frac{1}{2} \) cups. Similarly, we divide by the number of pancakes:

\[ \text{Buckwheat Flour per Pancake} = \frac{\frac{1}{2}}{4} = \frac{1}{2} \times \frac{1}{4} = \frac{1}{8} \text{ cups} \]

Final Answer

The amounts of flour needed to make 1 pancake are:

  • Whole wheat flour: \( \frac{1}{6} \) cup
  • Buckwheat flour: \( \frac{1}{8} \) cup

Thus, the answer is \( \boxed{\text{Whole wheat: } \frac{1}{6}, \text{ Buckwheat: } \frac{1}{8}} \).

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