Determine which of the equations and/or fraction models below will solve the following problem correctly.

Question

The Mendes family ordered pizza for dinner on Friday and had 4/9 of the pizza left over. On Saturday, they ate 3/4 of what was left over for lunch. How much of the pizza did the Mendes family eat on Saturday?

Select all that apply.
A.


B.


C.
4/9×3/4
D.
4/9+3/4

Answer 1

To determine how much of the pizza the Mendes family ate on Saturday, we can analyze the situation step by step.

1. Initial leftover pizza: The Mendes family had \( \frac{4}{9} \) of the pizza left over from Friday.

2. Pizza eaten on Saturday: They ate \( \frac{3}{4} \) of what was left over. Therefore, the amount eaten on Saturday can be calculated by multiplying the leftover pizza by the fraction they ate: \[ \text{Amount eaten on Saturday} = \frac{3}{4} \times \frac{4}{9} \]

Now, let's evaluate the options provided:

A. (No equation provided, can't assess)

B. (No equation provided, can't assess)

C. \( \frac{4}{9} \times \frac{3}{4} \) - This equation correctly represents the amount of pizza the Mendes family ate on Saturday.

D. \( \frac{4}{9} + \frac{3}{4} \) - This equation does not represent the situation correctly because it is adding the leftover pizza to a fraction instead of calculating what they ate.

So, based on the analysis, the correct equation to determine how much pizza the Mendes family ate on Saturday is:

C. \( \frac{4}{9} \times \frac{3}{4} \)

Answer: C. \( \frac{4}{9} \times \frac{3}{4} \) (only this option is correct)