Question

it is estimated that 12 large pizzas are about right to serve 38 students of a physics club meeting. how many pizzas would be required if the group, because of a conflicting math club meeting, was only going to have 24 students in attendance? the integer number of pizzas required for 24 students is \boxed{}

Explanation:

Step1: Set up proportion

Let \( x \) be the number of pizzas for 24 students. The proportion is \(\frac{12}{38}=\frac{x}{24}\).

Step2: Solve for \( x \)

Cross - multiply: \( 38x = 12\times24 \). Calculate \( 12\times24 = 288 \). Then \( x=\frac{288}{38}\approx7.58 \). Since we need an integer number of pizzas and we can't have a fraction of a pizza, we round up to the next whole number.

Answer:

8