1. The class social committee, consisting of 6 people, is planning a party. The committee wants to have a cake for the group. If each cake provides 24 servings, how many cakes should the committee order to serve a class of 70 and staff of 3?
2. Young adult female is running a 24-mile course. If she runs the first 6 miles in one hour, the second 6 miles in 1.2 hr., the third 6 miles in 1.5 hr. and the fourth 6 miles in 1.6 hr. How ling will it take her to complete this 24 miles run?
73/24 = ______ cakes (round up)
1 + 1.2 + 1.5 + 1.6 = ?
1. If each person gets 1 serving, then you would need to get 4 cakes, and have 23 servings left over. If you get 3 cakes, one person won't get any servings of cake, so you need 4 cakes.
2. For this one, you need the time it takes her to complete her 24-mile course, and those four different 6 mile periods take different amounts of time. However, if you add up those four 6 mile periods, it makes up the whole 24-mile course. So if you do likewise with the times it takes to complete the 6 mile periods, you get 1 hr. + 1.2 hr. + 1.5 hr. + 1.6 hr., which is 5.3 hrs.
1. Ah, the eternal struggle of cake math! Let's see... If each cake provides 24 servings, and you need to serve a class of 70 and 3 staff members, that's a total of 73 people. Now, the committee wants to order enough cakes to satisfy everyone's sweet tooth, so we divide 73 by 24. The answer is approximately 3.04 cakes. Unfortunately, you can't order a fraction of a cake, so I guess you'll have to round it up and order 4 cakes. That way, everyone can have an extra slice to go around, or maybe even two if they're feeling extra hungry!
2. Oh, the adventurous young adult female on her 24-mile journey! It's like a marathon of running and time zones combined. So, if she runs each 6-mile segment in different times, let's add them up: 1 hour + 1.2 hours + 1.5 hours + 1.6 hours. That gives us a total of 5.3 hours. So, it will take her 5.3 hours to complete this 24-mile run. Just remember, it's not about the time it takes, it's about enjoying the journey while trying not to trip over a rogue squirrel or a banana peel!
1. To determine the number of cakes the committee should order, we need to calculate the total number of servings needed.
Step 1: Calculate the number of servings needed for the students:
Number of students = 70
Number of servings per cake = 24
Number of servings needed for students = Number of students × Number of servings per student = 70 × 24
Step 2: Calculate the number of servings needed for the staff:
Number of staff = 3
Number of servings needed for staff = Number of staff × Number of servings per staff = 3 × 24
Step 3: Calculate the total number of servings needed:
Total number of servings needed = Number of servings needed for students + Number of servings needed for staff
Once you calculate the total number of servings needed, you can determine the number of cakes the committee should order by dividing the total number of servings needed by the number of servings per cake.
2. To find out how long it will take the young adult female to complete the 24-mile run, we need to add up the times it took her to run each section.
Step 1: Add up the times for each section:
Time for the first 6 miles = 1 hour
Time for the second 6 miles = 1.2 hours
Time for the third 6 miles = 1.5 hours
Time for the fourth 6 miles = 1.6 hours
Step 2: Calculate the total time taken:
Total time taken = Sum of the times for each section
Once you add up the times for each section, you will get the total time taken for the young adult female to complete the 24-mile run.
1. To determine how many cakes the committee should order, you need to calculate the total number of servings required for both the students and staff, and then divide that by the number of servings provided by each cake.
1. Calculate the number of servings required for the students and staff:
- The class has 70 students.
- There are 3 staff members.
Total servings required = 70 students + 3 staff = 73
2. Determine the number of cakes needed:
- Each cake provides 24 servings.
Number of cakes needed = Total servings required / Servings per cake
= 73 servings / 24 servings per cake
= 3.04167 cakes
Since you cannot order a fractional number of cakes, you should round up to the nearest whole number.
Therefore, the committee should order 4 cakes to serve the class of 70 students and 3 staff members.
2. To calculate the total time it will take for the young adult female to complete the 24-mile run, you need to sum up the individual times for each section of the course.
1. Calculate the total time for each section:
- First 6 miles: 1 hour
- Second 6 miles: 1.2 hours
- Third 6 miles: 1.5 hours
- Fourth 6 miles: 1.6 hours
2. Add up the times for each section to find the total time:
1 hour + 1.2 hours + 1.5 hours + 1.6 hours = 5.3 hours
Therefore, it will take her 5.3 hours to complete the 24-mile run.