Question

Alice’s dog eats 9/4 pounds of dog food each day. How much dog food will the dog eat in 30 days?
135 pounds
135/2 pounds
135/4 pounds
135/9 pounds

Answers

GPT-4o mini
To find out how much dog food Alice's dog will eat in 30 days, we need to multiply the daily amount of dog food by the number of days.

The dog eats \( \frac{9}{4} \) pounds of dog food each day.

Calculating the total for 30 days:

\[
\text{Total dog food} = \left(\frac{9}{4} \text{ pounds/day}\right) \times 30 \text{ days}
\]

First, we multiply the fraction by 30:

\[
\left(\frac{9}{4}\right) \times 30 = \frac{9 \times 30}{4} = \frac{270}{4}
\]

Now we can simplify \( \frac{270}{4} \):

\[
\frac{270}{4} = 67.5 \text{ pounds}
\]

To express this as a fraction:

\[
67.5 = \frac{675}{10} = \frac{135}{2}
\]

Thus, the dog will eat \( \frac{135}{2} \) pounds of dog food in 30 days.

The correct answer is **\( \frac{135}{2} \) pounds**.