Exploring Ratio and Proportions Word Problems

The video tutorial introduces proportions and their application in solving word problems. It begins with warm-up exercises and progresses to solving various real-world problems, such as calculating the ratio of a puzzle to the Washington Monument, determining practice hours for culinary skills, measuring snowfall, and estimating time for grading papers. The tutorial emphasizes setting up proportions correctly and simplifying them for accurate solutions.

What is the result of the first warm-up exercise?

• 5/36

• 3/8

• 36/5

• 1/3

What is the result of the second warm-up exercise?

• 12

• -1/3

• 36/5

• 3/8

What is the ratio of the height of the puzzle to the height of the real Washington Monument in feet?

• 1:139

• 1:24

• 1:278

• 1:556

If the puzzle height is 24 inches, what is the simplified ratio of inches to feet for the Washington Monument?

• 12:278

• 1:278

• 24:556

• 6:139

How many hours does Carol practice in a five-week period?

• 50 hours

• 35 hours

• 17 hours

• 42.5 hours

Carol practices 17 hours in a two-week period. How many hours does she practice in a five-week period?

• 50 hours

• 34 hours

• 42.5 hours

• 25 hours

How many inches of snow fell per hour during a 12-hour snowstorm that dumped 18 inches of snow?

• 3 inches

• 1 inch

• 2 inches

• 1.5 inches

If a snowstorm dumped 18 inches of snow in 12 hours, what was the snowfall rate per hour?

• 1.5 inches

• 2 inches

• 1 inch

• 3 inches

How many minutes does it take to grade 18 papers if it takes 60 minutes to grade 25 papers?

• 43.2 minutes

• 45 minutes

• 50 minutes

• 40 minutes

If it takes 60 minutes to grade 25 papers, how long will it take to grade 18 papers?

• 50 minutes

• 43.2 minutes

• 45 minutes

• 40 minutes