Question
You've won a new prize! Go to your game board. Winston is baking chocolate cupcakes for the school bake sale. He made 36 cupcakes yesterday, and he wants to bring 96 cupcakes in all. His recipe calls for 8 tablespoons of butter for a batch of 12 cupcakes. How many cups of butter will he use for the rest of his cupcakes? Hint: There are 16 tablespoons in 1 cup. Write your answer as a whole number, decimal, or simplified fraction. Do not round. cups
Answers
GPT-4o mini
First, we need to determine how many additional cupcakes Winston needs to make. He made 36 cupcakes already and wants to have a total of 96 cupcakes, so:
\[
96 - 36 = 60 \text{ cupcakes needed}
\]
Next, we need to find out how many batches of cupcakes are needed to make these 60 cupcakes. Since each batch makes 12 cupcakes, we divide the number of cupcakes needed by the batch size:
\[
\frac{60}{12} = 5 \text{ batches}
\]
Now we can calculate the amount of butter needed for these 5 batches. Each batch requires 8 tablespoons of butter, so for 5 batches:
\[
5 \times 8 = 40 \text{ tablespoons of butter}
\]
Finally, we need to convert tablespoons of butter to cups. There are 16 tablespoons in 1 cup, so we can convert 40 tablespoons to cups by dividing by 16:
\[
\frac{40}{16} = 2.5 \text{ cups of butter}
\]
Therefore, the amount of butter Winston will use for the rest of his cupcakes is:
\[
\boxed{2.5}
\]
\[
96 - 36 = 60 \text{ cupcakes needed}
\]
Next, we need to find out how many batches of cupcakes are needed to make these 60 cupcakes. Since each batch makes 12 cupcakes, we divide the number of cupcakes needed by the batch size:
\[
\frac{60}{12} = 5 \text{ batches}
\]
Now we can calculate the amount of butter needed for these 5 batches. Each batch requires 8 tablespoons of butter, so for 5 batches:
\[
5 \times 8 = 40 \text{ tablespoons of butter}
\]
Finally, we need to convert tablespoons of butter to cups. There are 16 tablespoons in 1 cup, so we can convert 40 tablespoons to cups by dividing by 16:
\[
\frac{40}{16} = 2.5 \text{ cups of butter}
\]
Therefore, the amount of butter Winston will use for the rest of his cupcakes is:
\[
\boxed{2.5}
\]