Question

1. polly buys 14 cupcakes for a party. the bakery puts them into boxes that hold 4 cupcakes each.

a. how many boxes will be needed for polly to bring all the cupcakes to the party? explain how you know.
b. if the bakery completely fills as many boxes as possible, what fraction of the last box is empty? how many more cupcakes are needed to fill this box?

Explanation:

Step1: Divide total cupcakes by box capacity

$14 \div 4 = 3.5$

Step2: Round up to whole boxes

Since partial boxes aren't usable, we round 3.5 up to 4.
---

Step3: Find filled boxes and leftover cupcakes

3 full boxes hold $3 \times 4 = 12$ cupcakes. Leftover: $14 - 12 = 2$ cupcakes.

Step4: Calculate empty space in last box

Empty spots: $4 - 2 = 2$. Fraction empty: $\frac{2}{4} = \frac{1}{2}$

Answer:

a. 4 boxes. 14 cupcakes divided by 4 per box is 3.5, and we need a whole box for the remaining 2 cupcakes, so 4 total boxes are required.
b. The fraction of the last box that is empty is $\frac{1}{2}$, and 2 more cupcakes are needed to fill this box.