The principal ordered four pizzas for the twelve students of the month. If each pizza has 8 pieces, what is the ratio of pieces of pizza to students of the month? Reduce your answer to lowest terms.

Question

A.
1:3

B.
3:8

C.
8:3

D.
32:12

Answer 1

To find the ratio of the pieces of pizza to the students of the month, we first need to determine the total number of pizza pieces.

There are 4 pizzas, and each pizza has 8 pieces:

\[ 4 \text{ pizzas} \times 8 \text{ pieces/pizza} = 32 \text{ pieces} \]

Now we know there are 32 pieces of pizza and 12 students of the month. To find the ratio of pieces of pizza to students, we write:

\[ \text{Ratio} = \frac{\text{pieces of pizza}}{\text{students}} = \frac{32}{12} \]

Next, we simplify the fraction \( \frac{32}{12} \). The greatest common divisor (GCD) of 32 and 12 is 4. We can divide both the numerator and the denominator by 4:

\[ \frac{32 \div 4}{12 \div 4} = \frac{8}{3} \]

Therefore, the ratio of pieces of pizza to students of the month is:

\[ \boxed{8:3} \]