Richard and Georgia wrote essays. Richard wrote for 45 minutes at 16 words per minute. Georgia wrote for 70 minutes at 12 words per minute. We need to determine who wrote more words and how many more words they wrote.

1. Problem Description

Richard and Georgia wrote essays. Richard wrote for 45 minutes at 16 words per minute. Georgia wrote for 70 minutes at 12 words per minute. We need to determine who wrote more words and how many more words they wrote.

2. Solution Steps

First, we need to calculate the number of words Richard wrote.

$Richard_{words} = Richard_{minutes} \times Richard_{words\_per\_minute}$

$Richard_{words} = 45 \times 16 = 720$

Next, we need to calculate the number of words Georgia wrote.

$Georgia_{words} = Georgia_{minutes} \times Georgia_{words\_per\_minute}$

$Georgia_{words} = 70 \times 12 = 840$

Now, we compare the number of words written by Richard and Georgia.

$Richard_{words} = 720$ and $Georgia_{words} = 840$

Since $840 > 720$, Georgia wrote more words.

Finally, we need to find the difference in the number of words written.

$Difference = Georgia_{words} - Richard_{words}$

$Difference = 840 - 720 = 120$

3. Final Answer

a) Georgia wrote more words in total.

b) Georgia wrote 120 more words than Richard.