Question

Violet read 1250 words in 5 minutes. About how long will it take her, in minutes, to read 10000 word essay?

Answer 1

40 minutes

Step-by-step explanation:

The ratio of the number of words to the number of minutes is constant. Then, If violet read 1250 words in 5 minutes, we can write the following equation:

`\frac{1250\text{ words}}{5\text{ minutes}}=\frac{10000\text{ words}}{x\text{ minutes}}`

Where x is the number of minutes that she needs to read a 10000-word essay.

So, solving for x, we get:

`\begin{gathered} (1250)/(5)=(10000)/(x) \\ 1250x=5(10000) \\ 1250x=50000 \\ (1250x)/(1250)=(50000)/(1250) \\ x=40\text{ minutes} \end{gathered}`

Then, she will take 40 minutes to read the essay.