Word Problems in Ratios and Rates

The video tutorial covers solving ratio and proportion problems through various examples. It begins with calculating how long an ant farm takes to consume apples, followed by determining the paint mix ratio for Jasper Green. The tutorial then shifts to calculating the speed and distance of an airplane, and concludes with an equation relating the cost and weight of strawberries. Each section involves setting up equations, cross-multiplying, and solving for unknowns, emphasizing practical applications of mathematical concepts.

If it takes 3 days for ants to consume half an apple, how many days will it take to consume 3 apples?

• 9 days

• 12 days

• 18 days

• 6 days

In the paint mixture problem, if 4 quarts of green paint are mixed with 2/3 cup of black paint, how much green paint is needed for 4 cups of black paint?

• 24 quarts

• 16 quarts

• 32 quarts

• 20 quarts

What is the speed of the airplane in miles per second if the equation is D = 0.15T?

• 0.20 miles per second

• 0.10 miles per second

• 0.30 miles per second

• 0.15 miles per second

How far will the airplane travel in 30 seconds if the speed is 0.15 miles per second?

• 3.5 miles

• 4.5 miles

• 5.5 miles

• 6.5 miles

How long will it take the airplane to travel 12.75 miles at a speed of 0.15 miles per second?

• 85 seconds

• 65 seconds

• 75 seconds

• 95 seconds

If strawberries cost $1.38 per pound, what is the equation relating cost and pounds?

• C = 1.38P

• C = 1.28P

• C = 1.48P

• C = 1.58P

If the total cost of strawberries is $241.50, how many pounds were purchased?

• 225 pounds

• 150 pounds

• 175 pounds

• 200 pounds