Arthur and Bryony wrote essays. Arthur worked for 65 minutes, writing an average of 16 words per minute. Bryony worked for 90 minutes, writing an average of 14 words per minute. a) Who wrote more words in total? b) How many more words did this person write?

1. Problem Description

Arthur and Bryony wrote essays. Arthur worked for 65 minutes, writing an average of 16 words per minute. Bryony worked for 90 minutes, writing an average of 14 words per minute.

a) Who wrote more words in total?

b) How many more words did this person write?

2. Solution Steps

First, calculate the total number of words Arthur wrote:

$Arthur_{words} = Arthur_{minutes} * Arthur_{words\_per\_minute}$

$Arthur_{words} = 65 * 16$

$Arthur_{words} = 1040$

Next, calculate the total number of words Bryony wrote:

$Bryony_{words} = Bryony_{minutes} * Bryony_{words\_per\_minute}$

$Bryony_{words} = 90 * 14$

$Bryony_{words} = 1260$

Now, compare the number of words written by Arthur and Bryony:

$Arthur_{words} = 1040$

$Bryony_{words} = 1260$

Since $1260 > 1040$, Bryony wrote more words.

Finally, calculate the difference between the number of words written by Bryony and Arthur:

$Difference = Bryony_{words} - Arthur_{words}$

$Difference = 1260 - 1040$

$Difference = 220$

3. Final Answer

a) Bryony wrote more words in total.

b) Bryony wrote 220 more words than Arthur.