Final answer:
Tom's unit rate of candy split among 4 people is 5/32 pounds per person. This rate is calculated by dividing the total candy weight by the number of people. Similarly, for Michaela's party, converting pounds to ounces ensures she has enough shrimp at 80 ounces for 10 people, with 7 ounces per person.
Step-by-step explanation:
To find the unit rate of candy in pounds per person that Tom split, you would divide the total amount of candy by the number of people. Tom split 5/8 pounds of candy among 4 people. To calculate the amount per person, perform the following division:
\(\frac{5}{8} \div 4 = \frac{5}{8} \times \frac{1}{4} = \frac{5}{32}\) pounds per person.
So, the unit rate is 5/32 pounds of candy per person.
Using the same method, let's reference back to Michaela's party where she needs to check if she has enough shrimp for everyone. By converting the total weight of shrimp from pounds to ounces, we guarantee that we are working with units that match the expected consumption per person, which is also in ounces.
Michaela has 5 pounds of shrimp, and 10 people are expected to eat. If one pound is equal to 16 ounces, then:
5 pounds = 5 x 16 = 80 ounces.
Since each person is expected to eat 7 ounces of shrimp, for 10 people the total amount needed would be:
10 x 7 = 70 ounces.
Thus, Michaela will have enough shrimp for the party, as she has 80 ounces and only 70 ounces are needed.