you spend a total of 25 minutes typing an email and writing a letter. you can type 6o words a minute and write 20 words a minute. let m be the minutes you type the email. write an expression in terms of m for the total number of words you wrote. evaluate the expression if you spend 10 minutes typing. help please. i came up with 60m+20(10-m)=

You're on the right track! Let's break down the problem step-by-step.

First, let's define the variables:

m = minutes spent typing the email (in this case, you spent 10 minutes)
t = total minutes spent typing (which is 25 minutes in this case)

Next, let's calculate the words typed per minute:

Words typed per minute for typing an email = 60
Words typed per minute for writing a letter = 20

To find the expression for the total number of words you wrote, we'll multiply the words typed per minute by the number of minutes spent on each task and add them together.

Expression: 60m + 20(t - m)

Now let's substitute the values:

t = 25 minutes
m = 10 minutes

Expression with values substituted: 60(10) + 20(25 - 10)

Now let's simplify it:

60(10) + 20(25 - 10) = 600 + 20(15)
= 600 + 300
= 900

So, if you spent 10 minutes typing, the total number of words you wrote would be 900.

To find the total number of words you wrote, we need to calculate the number of words typed in the email and the number of words written in the letter separately, and then add them.

The number of words typed in the email can be calculated by multiplying the typing speed (60 words per minute) by the number of minutes spent typing the email (m), so it is 60m.

The number of words written in the letter can be calculated by multiplying the writing speed (20 words per minute) by the remaining number of minutes spent writing the letter (10 - m), as you spent a total of 10 minutes and m minutes typing the email. So it is 20(10 - m).

Finally, to find the total number of words, you should add these two expressions: 60m + 20(10 - m).

If you evaluated the expression when m = 10 minutes:
60(10) + 20(10 - 10) simplifies to 600 + 20(0), which equals 600 words.

Therefore, if you spent 10 minutes typing the email, you would have written a total of 600 words.