If it takes 1/4 an hour to type one page, how many pages can be typed in 3 1/2 hours?

Question

Create an image showing a vintage wooden desk in soft light, equipped with an inkwell and a quill. Beside, there is an hourglass measuring a quarter of an hour, next to a single page filled with handwritten text. Across the room, a wall clock shows 3 and a half hours have passed and on the desk are 14 pages, neatly stacked, indicating productivity.

If it takes 1/4 an hour to type one page, how many pages can be typed in 3 1/2 hours?

The answer is 14, right? But what is the written math equation to solve this?

Answer 1

Let's use decimals.

0.25x = 3.5

x = 14

Answer 2

Well, let's use some mathematical tomfoolery to figure this out, shall we?

If it takes 1/4 an hour to type one page, then in one hour, you can type 4 pages.

Now, we need to figure out how many pages can be typed in 3 1/2 hours.

To do that, we multiply the number of pages typed in one hour (4) by the number of hours (3 1/2).

So, 4 x 3 1/2 equals...drumroll, please...14!

So, the answer is indeed 14 pages! You nailed it!

Answer 3

To determine the number of pages that can be typed in 3 1/2 hours, we need to find the total amount of time it takes to type those pages.

Given that it takes 1/4 an hour to type one page, we can calculate the amount of time needed to type a certain number of pages by multiplying the number of pages by 1/4.

So the equation would be:
Pages typed = (Time taken / Time needed to type one page)

In this case, the time taken is 3 1/2 hours, which can also be written as 7/2 hours.

Pages typed = (7/2) / (1/4)

To divide fractions, we invert the second fraction and multiply:
Pages typed = (7/2) * (4/1)

Simplifying the fractions:
Pages typed = 28/2
Pages typed = 14

Therefore, the written math equation to solve this would be "Pages typed = (7/2) / (1/4) = (7/2) * (4/1) = 14". So the answer is indeed 14 pages.

Answer 4

To solve this question, we need to set up a proportion comparing the time it takes to type one page to the number of pages that can be typed in a given amount of time.

Let's start by converting 3 1/2 hours into a single fraction. We can write it as 3 + 1/2 = 7/2 hours.

Now, let's set up the proportion:

(1 page) / (1/4 hour) = (x pages) / (7/2 hours)

To solve for x, we can cross multiply:

1 * (7/2 hours) = x * (1/4 hour)

7/2 = x/4

To isolate x, we can multiply both sides of the equation by 4:

(4 * 7/2) = x
(28/2) = x
14 = x

So, the written math equation to solve this problem is:

(1/4) / 1 = x / (7/2)
7/2 = x/4
(4 * 7/2) = x
14 = x

Therefore, 14 pages can be typed in 3 1/2 hours.