Word Problems on Ratios and Rates

This video tutorial covers lesson 7.2 on applying ratio and rate reasoning from the 6th grade Go Math textbook. It explains the concept of proportions, which are equations stating that two ratios or rates are equivalent. The tutorial includes examples such as calculating profits in a business partnership, determining the number of pizzas to order, and using rates to solve real-world problems. It also covers using proportional relationships to find distances on maps and solving practice problems. The video aims to help students understand and apply these mathematical concepts in various contexts.

If Sheldon makes $2 for every $5 Leonard makes, how much does Sheldon make if their total profit is $28?

• $5

• $8

• $10

• $12

In a pizza order, if the ratio of cheese to pepperoni pizzas is 2:3, how many cheese pizzas are there in a total of 25 pizzas?

• 12

• 8

• 15

• 10

Ali runs 3 miles in 40 minutes. How far can he run in 60 minutes at the same rate?

• 5 miles

• 4.5 miles

• 5.5 miles

• 4 miles

If the scale on a map is 1 inch equals 2 miles, what is the actual distance between two points that are 3 inches apart on the map?

• 6 miles

• 5 miles

• 4 miles

• 7 miles

What is the actual distance between Sandville and Lewiston if the map scale is 20 miles per inch and the map distance is 2.5 inches?

• 40 miles

• 45 miles

• 50 miles

• 55 miles

If a photo is enlarged from 4 inches wide to 12 inches wide, maintaining the same ratio, what will be its new height if the original height was 6 inches?

• 15 inches

• 20 inches

• 18 inches

• 12 inches

A person travels 24 feet in 7 seconds on a moving sidewalk. How long will it take to travel 180 feet?

• 50 seconds

• 52.5 seconds

• 55 seconds

• 57.5 seconds

If a couple rests for 27 minutes every 6 hours during a dance marathon, how long will they rest in 8 hours?

• 36 minutes

• 34 minutes

• 32 minutes

• 30 minutes

What is the actual distance between Zhende and Montrose if the map scale is 16 kilometers per centimeter and the map distance is 1.5 centimeters?

• 20 km

• 22 km

• 26 km

• 24 km

A pitcher throws 15 pitches per inning. How many innings can he pitch if he is limited to 100 pitches?

• 6.67 innings

• 6.5 innings

• 7 innings

• 6 innings