Question

6) You are making cinnamon coffee cakes. Each cake requires 1/8 cup of cinnamon. One tablespoon of cinnamon weighs ¼ ounce. If you are making 25 cakes, how many pounds of cinnamon should you use?

Answer 1

We need to find the amount of cinnamon used to make 25 cakes.

The pounds of cinnamon required is $0.78125\ \text{pounds}$

One cake requires $\dfrac{1}{8}$ cup of cinnamon.

One tablespoon of cinnamon weighs $\dfrac{1}{4}$ ounce.

We need to convert cups to ounces.

$1\ \text{cup}=16\ \text{tablespoons}$

$\dfrac{1}{8}\ \text{cup}=\dfrac{16}{8}=2\ \text{tablespoons}$

$1\ \text{tablespoon}=\dfrac{1}{4}\ \text{ounces}$

$2\ \text{tablespoons}=\dfrac{2}{4}=\dfrac{1}{2}\ \text{ounce}$

So, one cake requires $\dfrac{1}{2}$ ounce of cinnamon.

25 cakes would require

$25\times \dfrac{1}{2}=12.5\ \text{ounces}$

Converting to pounds

$1\ \text{ounce}=\dfrac{1}{16}\ \text{pounds}$

$12.5\ \text{ounces}=\dfrac{12.5}{16}=0.78125\ \text{pounds}$

The pounds of cinnamon required is $0.78125\ \text{pounds}$.

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