Felix and Vera are baking cookies. Their recipe bakes \(12\) cookies and uses the following ingredients:
\(\frac{1}{2}\) cup of butter
\(\frac{1}{3}\) cup of sugar
\(1\) cup of flour
\(\frac{2}{3}\) teaspoon of vanilla
Felix and Vera decide to triple the recipe. How much of each ingredient will they need?
The cookies are so good that Felix and Vera plan to make \(60\) cookies for a fundraiser.
How much butter will they need?
Each batch of cookies takes \(11\) minutes to bake, and their oven can fit only \(24\) cookies at a time. How long will it take to bake all the cookies for the fundraiser?
If they triple the recipe, then the amounts of each ingredient will be as follows:
Butter: \(\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=\frac{3}{2}=1 \frac{1}{2}\) cups
Sugar: \(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1\) cup
Flour: \(1+1+1=3\) cups
Vanilla: \(\frac{2}{3}+\frac{2}{3}+\frac{2}{3}=\frac{6}{3}=2\) teaspoons
Since \(12 \times 5 = 60\), they will need to make \(5\) batches of cookies. So the amount of butter they will need is \(5 \times \frac{1}{2} = \frac{5}{2} = 2\frac{1}{2}\) cups.
Their oven can fit only \(24\) cookies at a time, which is the same as \(2\) batches. Since they need to make \(5\) batches, they will need to bake \(2\) batches, then another \(2\) batches, then \(1\) batch. So the total baking time would be \(11+11+11=33\) minutes.