Ratio and Proportion Word Problems

This video tutorial covers sixth-grade math concepts focusing on ratios. It begins with an introduction to ratios and their representation using diagrams. The tutorial progresses to creating and using double number line diagrams, solving equivalent ratio problems, and understanding part-part-whole relationships. It concludes with advanced problem-solving techniques involving ratios.

What is the ratio of bananas to apples in a fruit basket containing 9 bananas and 4 apples?

• 1 to 3

• 9 to 4

• 4 to 9

• 3 to 1

If a square has a side length of 5 feet, what is its area?

• 30 square feet

• 25 square feet

• 15 square feet

• 10 square feet

In a recipe for fizzy grape juice, what is the ratio of cups of sparkling water to cups of grape juice concentrate?

• 1 to 2

• 2 to 1

• 1 to 3

• 3 to 1

How many batches of purple paint can be made with 12 cups of red paint if the ratio is 3 cups of red to 2 cups of blue?

• 5 batches

• 4 batches

• 3 batches

• 2 batches

In a recipe for tropical fruit punch, if you use 12 cups of pineapple juice with 20 cups of orange juice, how will the taste compare to the original recipe?

• It will taste more like orange.

• It will taste less sweet.

• It will taste more like pineapple.

• It will taste the same.

If a car travels 140 kilometers in 2 hours, how far will it travel in 14 hours at the same speed?

• 700 kilometers

• 980 kilometers

• 1120 kilometers

• 1400 kilometers

What is the cost per apple if 12 apples are bought for $2.88?

• $0.30

• $0.24

• $0.12

• $0.36

If Claire earns $18 in one hour, how many seconds does it take her to earn 25 cents?

• 50 seconds

• 100 seconds

• 200 seconds

• 150 seconds

A car travels 20 miles in half an hour. How far will it travel in 1.5 hours at the same speed?

• 30 miles

• 40 miles

• 60 miles

• 80 miles

How much will a caterer pay for 21 pounds of pasta if 8 pounds cost $12?

• $28.00

• $25.50

• $31.50

• $35.00