Understanding Ratios and Proportions

The video tutorial covers the concept of ratios, starting with an introduction using shaded and unshaded sections. It explains how to simplify ratios and find equivalent ones. The tutorial then applies these concepts to real-life scenarios, such as batting practice, and demonstrates how to create and solve word problems using ratios. Finally, it explores the use of ratios in a school context to analyze student lunch choices.

What is the simplest form of the ratio 4:2?

• 1:1

• 2:1

• 2:2

• 4:1

Which of the following ratios is equivalent to 7:15?

• 21:45

• 28:60

• 35:75

• 14:30

If a ratio is 21:45, what is its simplest form?

• 5:9

• 1:2

• 3:5

• 7:15

In a batting practice, if Shawn swings 25 times and hits 15 times, what is the ratio of hits to swings?

• 3:5

• 5:3

• 15:25

• 25:15

What is the simplest form of the ratio 15:25?

• 3:5

• 5:3

• 1:2

• 2:3

If Shawn hits the ball 15 times and misses 10 times, what is the ratio of hits to misses?

• 2:3

• 3:2

• 1:1

• 5:3

If Shawn takes 40 swings next week, how many hits would he get if the ratio remains the same?

• 24

• 30

• 20

• 16

In a school of 900 students, if one-third bring their lunch, how many students buy lunch?

• 300

• 150

• 600

• 450

What is the ratio of students who bring lunch to those who buy lunch?

• 1:1

• 2:1

• 1:2

• 3:1

If 300 students bring lunch, what is the total number of students in the school?

• 900

• 600

• 750

• 450