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

Question

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.

Answer 1

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.