Question

Shelly needs to order cupcakes for the next school dance. Usually, 2 out of 3 people will buy a cupcake at the dance. If there are 600 students expected at the dance and cupcakes come in packages of 24, how many packages of cupcakes should Shelly order?

A) 200 packages
B) 400 packages
C) 300 packages
D) 500 packages

Answer 1

Shelly should order 17 packages of cupcakes to have enough for the expected 400 students who will buy a cupcake at the dance.

Step-by-step explanation:

To determine how many packages of cupcakes Shelly should order for the school dance, we can follow these steps:

1. Calculate the expected number of people who will buy a cupcake using the given ratio (2 out of 3 people). Since there are 600 students expected, we can expect 400 students to buy cupcakes (2/3 of 600 = 400).
2. Divide the number of students buying cupcakes by the number of cupcakes in a package to determine how many packages are needed: 400 / 24 ≈ 16.67.
3. Since we cannot order a fraction of a package, we round up to the nearest whole number. Therefore, Shelly should order 17 packages to have enough cupcakes for 400 students.

Shelly needs to order 17 packages of cupcakes for the school dance to ensure there are enough cupcakes for everyone who wants to purchase one.