you spend a total of 25 minutes typing an e-mail to your friend and writing a letter to your aunt. you can type 60 words per minute and handwrite 20 words a minute. let "m" be the number of minutes you type the e-mail to your friend. write an expression in terms of "m" for the total number of words you wrote. evaluate the expression if you spend 10 minutes typing the e-mail to your friend.

what is the answer

04/5/22

To find the expression in terms of "m" for the total number of words you wrote, we need to consider the time spent typing the e-mail and the time spent handwriting the letter.

Let's start by calculating the number of words typed in the e-mail:
The rate of typing is 60 words per minute.
So, the number of words typed in "m" minutes will be 60 * m = 60m.

Next, let's calculate the number of words handwritten in the letter:
The rate of handwriting is 20 words per minute.
The total time spent on both tasks is 25 minutes, and we know that "m" minutes were spent writing the e-mail.
So, the time spent writing the letter will be 25 - m.

Therefore, the number of words handwritten in (25 - m) minutes will be 20 * (25 - m) = 20(25 - m).

To find the total number of words you wrote, you need to sum the number of words typed and the number of words handwritten:
Total number of words = Number of words typed + Number of words handwritten
= 60m + 20(25 - m).

Now, let's evaluate the expression if you spent 10 minutes typing the e-mail:
Plugging in m = 10 into the expression:
Total number of words = 60(10) + 20(25 - 10)
= 600 + 20(15)
= 600 + 300
= 900.

Therefore, if you spent 10 minutes typing the e-mail, the total number of words you wrote would be 900.