Using Unit Rate to Solve a Real World Problem

The video tutorial from 'Magic of Math' explains how to solve a standardized math test question about unit rate. The problem involves calculating the total hours needed for a baker to decorate 4 and 1/2 cakes, given that one cake takes 2/3 of an hour. The instructor guides viewers through drawing a diagram, labeling it, and performing calculations to find the solution, which is 3 hours. The video concludes with a summary and an invitation to return for more math tutorials.

What is the unit rate for decorating one cake?

• 1 hour per cake

• 1/2 hour per cake

• 3/4 hour per cake

• 2/3 hour per cake

How many cakes does the baker need to decorate in total?

• 5 cakes

• 4 and 1/2 cakes

• 4 cakes

• 3 cakes

If one cake takes 2/3 of an hour, how long does it take to decorate half a cake?

• 1/4 hour

• 1/3 hour

• 2/3 hour

• 1/2 hour

What is the total time in hours to decorate 4 and 1/2 cakes?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

What is the final step in calculating the total time needed?

• Divide the total time by the number of cakes

• Add the times for each cake and half cake

• Subtract the time for half a cake from the total

• Multiply the number of cakes by 2/3