Math / Numbers & Operations

QuestionXavier loves to make waffles for breakfast. Normally, it takes him 9 minutes to make 3 waffles. He had some friends sleep over last night, and he wants to make 10 waffles this morning.
If the waffles cook at the same rat how many minutes will it take Xavier to make the waffles this morning? $\square$ minutes

Studdy Solution

STEP 1

1. Xavier makes waffles at a constant rate.
2. It takes 9 minutes to make 3 waffles.
3. We need to determine how long it will take to make 10 waffles.

STEP 2

1. Determine the rate of making waffles.
2. Set up a proportion to find the time for 10 waffles.
3. Solve the proportion.

STEP 3

Calculate the rate of making waffles in minutes per waffle.
$\text{Rate} = \frac{9 \text{ minutes}}{3 \text{ waffles}} = 3 \text{ minutes per waffle}$

STEP 4

Set up a proportion to find the time it takes to make 10 waffles.
$\frac{3 \text{ minutes per waffle}}{1 \text{ waffle}} = \frac{x \text{ minutes}}{10 \text{ waffles}}$

STEP 5

Solve the proportion for $x$ .
Multiply both sides by 10:
$3 \times 10 = x$
$x = 30$
The time it will take Xavier to make 10 waffles is:
$\boxed{30 \text{ minutes}}$

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