Solving Ratio and Proportion Word Problems

The video tutorial covers solving problems involving ratios and proportions. It begins with a basic example of calculating the ratio of cats to dogs on an island, followed by a classroom problem involving the ratio of boys to girls. The tutorial then explores a time management problem with cakes, a geometric problem with rectangle dimensions, and concludes with a multi-step problem involving coins. Each section demonstrates setting up proportions, simplifying fractions, and using cross-multiplication to find solutions.

What is the simplified ratio of cats to dogs on the island?

• 4:5

• 5:4

• 12:15

• 15:12

If there are 40 boys in a class, how many girls are there?

• 45

• 35

• 30

• 40

What is the ratio of boys to girls in the class?

• 2:1

• 8:7

• 1:1

• 7:8

Karen can make 14 cakes in 6 hours. How many cakes can she make in 15 hours?

• 45

• 30

• 35

• 40

What is the ratio of cakes to hours for Karen's baking?

• 14:6

• 7:3

• 3:7

• 6:14

Given a small rectangle with dimensions 9 inches by 8 inches, what is the width of a large rectangle with a length of 24 inches?

• 24 inches

• 27 inches

• 21.3 inches

• 18 inches

What is the simplified ratio of the length to width for the small rectangle?

• 2:3

• 8:9

• 3:2

• 9:8

If the ratio of nickels, dimes, and quarters in a jar is 3:4:7, how many nickels are there if the total number of coins is 112?

• 32

• 24

• 64

• 56

What is the total number of coins in the jar?

• 140

• 100

• 112

• 120

How many quarters are there in the jar if the total number of coins is 112?

• 24

• 32

• 56

• 64