Ratios, Rates, and Proportions

This video tutorial covers the concept of equivalent ratios through various practical examples. It begins with Priya's penny problem, calculating the number of pennies based on their mass. Kieran's reading time is analyzed to determine how long it takes to read a certain number of pages. Mai's pizza cheese calculation demonstrates how to find the amount of cheese needed for different numbers of pizzas. Claire's earnings are calculated to find out how long it takes her to earn a specific amount. The video also compares car speeds over different time intervals and explains Lynn's juice blend ratios. Finally, it provides a detailed explanation of equivalent ratios using various numerical examples.

If Priya collected 2400 grams of pennies, and each penny weighs 2.5 grams, how many pennies did she collect?

• 1200

• 1000

• 1500

• 960

Kieran reads 5 pages in 20 minutes. How long will it take him to read 11 pages?

• 44 minutes

• 40 minutes

• 50 minutes

• 55 minutes

Mai uses 10 ounces of cheese for 4 pizzas. How much cheese is needed for 15 pizzas?

• 50 ounces

• 45 ounces

• 40 ounces

• 37.5 ounces

Claire earns $18 per hour. How many seconds does it take her to earn 25 cents?

• 50 seconds

• 60 seconds

• 75 seconds

• 100 seconds

A car travels 20 miles in half an hour. How far will it travel in 3/4 of an hour at the same speed?

• 35 miles

• 25 miles

• 40 miles

• 30 miles

What is the equivalent ratio of 60 to 45?

• 3 to 2

• 2 to 1

• 5 to 4

• 4 to 3

If a juice blend has a ratio of 3 parts cranberry to 7 parts apple, what is the ratio for a larger batch with 12 parts cranberry?

• 28 parts apple

• 24 parts apple

• 30 parts apple

• 35 parts apple

Which of the following is an equivalent ratio to 600:450?

• 2:1

• 3:2

• 4:3

• 5:4

If a car travels 30 miles in 3/4 of an hour, how far will it travel in 1 hour at the same speed?

• 50 miles

• 40 miles

• 35 miles

• 45 miles

What is the equivalent ratio of 9 parts cranberry to 21 parts apple?

• 3:7

• 4:7

• 6:7

• 5:7