Solving Proportions and Ratios

The video tutorial explains how to solve proportions using cross multiplication. It begins with an introduction to proportions and equivalent ratios, followed by examples demonstrating how to find unknown values in ratios using cross multiplication. The tutorial also includes a word problem to illustrate the application of these concepts in real-life scenarios. The video concludes with a summary of the key points covered.

What is a proportion?

• An equation that shows two ratios are equal

• A method to multiply numbers

• A type of fraction

• A way to divide numbers

Which of the following ratios are equivalent?

• 5:6 and 10:13

• 7:8 and 14:15

• 2:3 and 4:5

• 3:4 and 6:8

What is the first step in solving proportions using cross multiplication?

• Divide the numerators

• Multiply the numerator of one ratio by the denominator of the other

• Add the numerators

• Subtract the denominators

In the example given, what is the result of multiplying 4 by 3?

• 18

• 9

• 12

• 15

What is the missing number 'a' in the proportion 5:9 = 10:a?

• 20

• 22

• 18

• 15

How do you write the ratio 5:9 as a fraction?

• 9/5

• 5/9

• 9:5

• 5:9

What operation is performed after cross multiplying to solve for the variable?

• Division

• Subtraction

• Multiplication

• Addition

What is the equivalent fraction of 10:a in the example problem?

• 10/5

• a/10

• 10/a

• 10/9

What is the result of dividing 90 by 5 in the example problem?

• 17

• 18

• 16

• 15

In the word problem, what is the ratio of cats to dogs?

• 4:5

• 5:6

• 6:7

• 7:8