Q:

The cooking time for a ham is 2/5 of an hour for each pound. A.) How long should you cook a ham that weighs 12 3/4 pounds? B.) Dinner time is 4:45 pm. What time should you start cooking the ham?

Accepted Solution

A:
Hi there! So, you need to cook the ham for 2/5 of an hour per pound. You have a ham that is 12 3/4 pounds. To find how long you may have to cook it, we need to do division. 12 3/4 as a mixed number is 51/4. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the second fraction over. 51/4 * 5/2 is 255/8 or 31 7/8 in mixed number form. There is no way it would take that long or cook a ham, and by unit rate, t would take 1 hour to cook 2 1/2 pounds of turkey. Let’s divide that fraction by 5. 255/8 * 1/5 is 255/40 is 6 3/8. It would take 6 3/8 hours to cook 12 3/4 pounds of ham. 1/8 of an hour is 7 minutes 30 seconds. 6 hours away form 4:45 is 10:45 and 7.5 * 3 is 22.5 minutes. With that case, you subtract that from 45, and you get 22.5. You should start cooking the ham at 10:22 A.M.