Question
Elijah is a baker at Coral City Cakes. This morning, he took an order for 150 cupcakes for a wedding reception. Each batch of a dozen cupcakes requires 1
1
2
cups of flour. How much flour will he need to make all the cupcakes?
Write your answer as a whole number, a decimal, or a simplified fraction or mixed number. Do not round.
Answers
GPT-4o mini
To find out how much flour Elijah will need to make 150 cupcakes, we first determine how many batches of a dozen cupcakes he needs to make.
1. **Calculate the number of dozen cupcakes in 150 cupcakes:**
\[
\frac{150 \text{ cupcakes}}{12 \text{ cupcakes/dozen}} = 12.5 \text{ dozen}
\]
2. **Each dozen requires \( \frac{3}{2} \) cups of flour:**
Since \( \frac{3}{2} \) cups is equivalent to 1.5 cups, we can use either form in the next calculation.
3. **Calculate the total amount of flour required for 12.5 dozen:**
\[
\text{Flour needed} = 12.5 \text{ dozen} \times \frac{3}{2} \text{ cups/dozen}
\]
\[
= 12.5 \times \frac{3}{2}
\]
\[
= 12.5 \times 1.5
\]
\[
= 18.75 \text{ cups}
\]
Therefore, Elijah will need **18.75 cups** of flour to make all 150 cupcakes.
1. **Calculate the number of dozen cupcakes in 150 cupcakes:**
\[
\frac{150 \text{ cupcakes}}{12 \text{ cupcakes/dozen}} = 12.5 \text{ dozen}
\]
2. **Each dozen requires \( \frac{3}{2} \) cups of flour:**
Since \( \frac{3}{2} \) cups is equivalent to 1.5 cups, we can use either form in the next calculation.
3. **Calculate the total amount of flour required for 12.5 dozen:**
\[
\text{Flour needed} = 12.5 \text{ dozen} \times \frac{3}{2} \text{ cups/dozen}
\]
\[
= 12.5 \times \frac{3}{2}
\]
\[
= 12.5 \times 1.5
\]
\[
= 18.75 \text{ cups}
\]
Therefore, Elijah will need **18.75 cups** of flour to make all 150 cupcakes.