Question

Question
Remy drinks
2
1
4
cups of water every
1
4
5
hours.

How many cups of water does he drink in
1
hour?

Answer 1

To determine how many cups of water Remy drinks in 1 hour, we first note how many cups he drinks in \( \frac{1}{4} \) hours. He drinks \( 2 \frac{1}{4} \) cups of water every \( \frac{1}{4} \) hours.

First, let's convert \( 2 \frac{1}{4} \) cups into an improper fraction:

\[
2 \frac{1}{4} = 2 + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \text{ cups}
\]

So, Remy drinks \( \frac{9}{4} \) cups of water in \( \frac{1}{4} \) hours. To find out how many cups he drinks in 1 hour, we need to determine how many \( \frac{1}{4} \) hours fit into 1 hour:

\[
1 \text{ hour} = 4 \times \frac{1}{4} \text{ hours}
\]

Since Remy drinks \( \frac{9}{4} \) cups every \( \frac{1}{4} \) hour, in 4 quarters (or 1 hour), he drinks:

\[
4 \times \frac{9}{4} = \frac{36}{4} = 9 \text{ cups}
\]

Thus, Remy drinks **9 cups of water in 1 hour**.