Word Problems in Ratios and Rates

This video tutorial covers solving equivalent ratio problems through various examples, including calculating the cost of vinegar and pasta, analyzing reading and typing speeds, comparing train speeds, and finding the surface area of a polyhedron. Each section provides step-by-step calculations and explanations to help students understand the concepts of ratios, unit rates, and geometric measurements.

If 2 gallons of vinegar cost $3, how much would 4 gallons cost?

• $7.50

• $6.00

• $9.00

• $4.50

What is the cost of 21 pounds of pasta if 8 pounds cost $12?

• $37.50

• $28.50

• $35.00

• $31.50

Why is it more helpful to write the equivalent ratio with one pound of pasta?

• It simplifies the calculation for any amount of pasta.

• It makes the ratio easier to remember.

• It reduces the cost per pound.

• It increases the cost per pound.

If Lynn reads 20 pages in 35 minutes, how long will it take her to read 47 pages?

• 82 minutes

• 70 minutes

• 90 minutes

• 60 minutes

Can Lynn finish reading the 47-page book in under an hour?

• No, she needs less than an hour.

• Yes, she can finish in exactly an hour.

• No, she needs more than an hour.

• Yes, she can finish in 55 minutes.

How many words can Diego type in 15 minutes if he types 140 words in 4 minutes?

• 560 words

• 490 words

• 525 words

• 600 words

How long will it take Diego to type 385 words?

• 10 minutes

• 11 minutes

• 12 minutes

• 13 minutes

Which train is faster: one traveling 30 miles in 1/3 hour or one traveling 20 miles in 1/2 hour?

• Cannot be determined from the given information.

• The second train is faster.

• Both trains have the same speed.

• The first train is faster.

What is the speed of the train that travels 30 miles in 1/3 hour?

• 90 mph

• 80 mph

• 70 mph

• 60 mph

What is the surface area of the polyhedron assembled from the given net?

• 224 square inches

• 210 square inches

• 250 square inches

• 200 square inches