Comparing Rates

Question

A 3-column table with 4 rows. Column 1 is labeled Name with entries Sam, Jonah, Abby, Mary. Column 2 is labeled number of sandwiches with entries 21, 16, 23, 19. Column 3 is labeled Time (minutes) with entries 10, 8, 9, 11.

A group of friends is competing to see who can build the most sandwiches in a period of time. Who made the most sandwiches per minute?
Abby
Jonah
Mary
Sam

Answer 1

To determine who made the most sandwiches per minute, we need to calculate the rate of sandwiches made per minute for each person. We can do this by dividing the number of sandwiches by the time taken (in minutes).

Here are the calculations:

1. Sam:

   • Number of sandwiches: 21
   • Time: 10 minutes
   • Rate = 21 / 10 = 2.1 sandwiches per minute

2. Jonah:

   • Number of sandwiches: 16
   • Time: 8 minutes
   • Rate = 16 / 8 = 2.0 sandwiches per minute

3. Abby:

   • Number of sandwiches: 23
   • Time: 9 minutes
   • Rate = 23 / 9 ≈ 2.56 sandwiches per minute

4. Mary:

   • Number of sandwiches: 19
   • Time: 11 minutes
   • Rate = 19 / 11 ≈ 1.73 sandwiches per minute

Now, we compare the rates:

• Sam: 2.1 sandwiches per minute
• Jonah: 2.0 sandwiches per minute
• Abby: ≈ 2.56 sandwiches per minute
• Mary: ≈ 1.73 sandwiches per minute

The person who made the most sandwiches per minute is Abby.