Word Problems in Ratios and Rates

Mrs. Groovy Groves guides students through various math problems, including calculating speed, mixing ratios, cost per pound, and understanding scale factors. The video covers practical applications of ratios and geometry, with a focus on problem-solving techniques.

If a cyclist travels 3.7 miles in 0.3 hours, what is her speed in miles per hour?

• 14.5 mph

• 13.5 mph

• 12.5 mph

• 11.5 mph

How long will it take the cyclist to travel 4.5 miles at the same speed?

• 0.60 hours

• 0.54 hours

• 0.45 hours

• 0.36 hours

For every quart of grape juice, how many quarts of sparkling water are needed?

• 4 quarts

• 3 quarts

• 2 quarts

• 1 quart

How much sparkling water is needed to mix with 9 quarts of grape juice?

• 12 quarts

• 18 quarts

• 15 quarts

• 9 quarts

Which meat is the least expensive per pound?

• Ham

• Turkey

• Chicken

• Roast Beef

What is the most expensive meat per pound?

• Roast Beef

• Chicken

• Turkey

• Ham

If a circle's radius is doubled, how does its circumference change?

• It doubles

• It remains the same

• It triples

• It quadruples

How does the area of a circle change if its radius is doubled?

• It remains the same

• It quadruples

• It triples

• It doubles

What is the scale factor if a map of Kansas is reduced to fit a 5x8 inch page?

• 1:1

• 1:10

• 1:42

• 1:100

If 5 inches on a map represents 210 miles, how many miles does 1 inch represent?

• 21 miles

• 62 miles

• 42 miles

• 52 miles