# Ratios and Proportions

**Please see the attached file for the fully formatted problems**

Write each of the following ratios in simplest form. And explain your answer.

The ratio of 7 oz to 3 lb

The ratio of 7 dimes to 3 quarters

34. Crafts. Marc took 3 hours (h) to mow a lawn while Angelina took 150 minutes

(min) to mow the same lawn a week earlier. Write the ratio of Marc's time to

Angelina's time as a ratio of whole numbers.

Find each rate.

240 pounds of fertilizer over 6 lawns

30. Which is the better buy: 5 lb of sugar for $4.75 or 20 lb of sugar for $19.92?

5.3 Exercises

Write the following as proportions.

10. If Maria hit 8 home runs in 15 softball games, then she should hit 24 home runs in 45 games.

Determine whether each pair of fractions is proportional.

5/8 and 75/120

48. 12 gallons of paint = 9 gallons of paint

8,329 ft2 1,240 ft2

Solve the following application

16. Business and finance. A store has T-shirts on sale at 2 for $5.50. At this rate, what do five T-shirts cost?

ACTIVITY 15:

BURNING CALORIES

Many people are interested in losing weight through exercise. An important fact to consider is that a person needs to burn off 3,500 calories more than he or she takes in to lose 1 pound, according to the American Dietetic Association.

The following table shows the number of calories burned per hour (cal/h) for a variety of activities, where the figures are based on a 150-pound person.

Activity Cal/h Activity Cal/h

Bicycling 6 mi/h 240 Running 10 mi/h 1,280

Bicycling 12 mi/h 410 Swimming 25 yd/min 275

Cross-country skiing 700 Swimming 50 yd/min 500

Jogging 5 ½ mi/h 740 Tennis (singles) 400

Jogging 7 mi/h 920 Walking 2 mi/h 240

Jumping rope 750 Walking 3 mi/h 320

Running in place 650 Walking 4 ½ mi/h 440

For problems 1 through 4, assume a 150-pound person.

1. If a person jogs at a rate of 5 mi/h for 3 h in a week, how many calories do they burn?

2. If a person runs in place for 15 minutes, how many calories will be burned?

3. If a person cross-country skis for35minutes, how many calories will be burned?

4. How many hours would a person have to jump rope in order to lose 1 pound? (Assume calorie consumption is just enough to maintain weight, with no activity.)

Heavier people burn more calories (for the same activity), and lighter people burn

fewer. In fact, you can calculate similar figures for burning calories by setting up the

appropriate proportion.

5. At what rate would a 120-pound person burn calories while bicycling at 12 mi/h?

6. At what rate would a 180-pound person burn calories while bicycling at 12 mi/h?

7. How many hours of jogging at 5 mi/h would be needed for a 200-pound person to

lose 5 pounds? (Again, assume calorie consumption is just enough to maintain weight,

with no activity.)

#### Solution Summary

A series of questions based on ratios and proportions