Cranberries

A recipe requires 1/4 of a cup of cranberries for 1 batch of scones.

How many batches of scones can be made using 6 1/2 cups of cranberries?

Correct answer:

n =  26

Step-by-step explanation:

$$\begin{gathered} a=1/4=\frac{1}{4}=0.25 \\ b=6\frac{1}{2}=6+\frac{1}{2}=\frac{6\cdot 2+1}{2}=\frac{12+1}{2}=\frac{13}{2}=6\frac{1}{2}=6.5 \\ n\cdot a=b \\ n=b/a=\frac{13}{2}/\frac{1}{4}=\frac{13}{2}:\frac{1}{4}=\frac{13}{2}\cdot \frac{4}{1}=\frac{13\cdot 4}{2\cdot 1}=\frac{52}{2}=26 \end{gathered}$$

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