A young guy is setting up a date for his girlfriend. He has the option of going to Chicago, Indianapolis, or staying in Lafayette. If he chooses Chicago, he has 10 choices for a play and 100 choices for a restaurant. If he opts of Indianapolis, he has 5 choices for a play and 50 choices for a restaurant. If he remains in Lafayette, he only has 2 options for a play 20 choices for a restaurant.
A. How many options does this gentleman have for a romantic evening out?
B. What about if we added the option of Fort Wayne and this particular city boasted 8 plays and 75 restaurants?
A. To calculate the options for a romantic evening out, we need to multiply the number of choices for a play by the number of choices for a restaurant in each location and then sum them up.
For Chicago, the young guy has 10 choices for a play and 100 choices for a restaurant, so the total number of options in Chicago would be: 10 choices x 100 choices = 1,000 options.
For Indianapolis, he has 5 choices for a play and 50 choices for a restaurant, so the total number of options in Indianapolis would be: 5 choices x 50 choices = 250 options.
For Lafayette, he has 2 choices for a play and 20 choices for a restaurant, so the total number of options in Lafayette would be: 2 choices x 20 choices = 40 options.
To get the total number of options for a romantic evening out, we just need to sum up the options from each location: 1,000 options + 250 options + 40 options = 1,290 options.
Therefore, the young guy has a total of 1,290 options for a romantic evening out.
B. If we add the option of Fort Wayne with 8 plays and 75 restaurants, we just need to calculate the number of options for Fort Wayne and then add it to the previous total.
For Fort Wayne, the guy has 8 choices for a play and 75 choices for a restaurant, so the total number of options in Fort Wayne would be: 8 choices x 75 choices = 600 options.
To get the new total number of options for a romantic evening out, we need to add the options from Fort Wayne to the previous total: 1,290 options + 600 options = 1,890 options.
Therefore, if we add the option of Fort Wayne with 8 plays and 75 restaurants, the young guy would now have a total of 1,890 options for a romantic evening out.