Math 60: Ratios, Proportions, and Percents

Where to look in your ALEKS pie: For these questions, look in the “Ratios, Proportions, & Percents” slice. Some review of the topic, “Word problem on proportions,” may help.

Directions: Show your work and write each answer as a complete sentence. If you prefer to write on lined paper, you may write your final answer for each question on lined paper and attach it to the back of this workbook. Round all dollar amounts to the nearest cent.

Exercise 1: If a bicyclist travels at an average speed of 16 miles per hour, how far will she travel in 1 hour and 50 minutes?

Exercise 2: A certain disease affects 9 out of every 10,000 Americans. In a city of 4.5 million people, how many would you expect to have the disease?

Exercise 3: The ratio of male to female students in a program is 4 to 5. If there are 48 male students, what is the total number of students in the program?

Exercise 4: A chemical compound is made up of 5 parts of Chemical A for every 8 parts of Chemical B. If you have 17 grams of the compound, how many grams of Chemical A does it contain? Round to the nearest tenth.

Exercise 5: A furniture store is having a 30%-off sale. If a sofa was originally $439.99, what is its sale price?

Exercise 6: A necklace at a department store is on sale for 15% off of its original price. If the sale price is $73.95, what was its original price?

Exercise 7: The population of a town is 90% of what it was twenty years ago. If the current population of the town is 5148, then what was the population twenty years ago?

Exercise 8: Kevin just got a raise at his job. He used to make $13.40 per hour and now makes $14.10 per hour. Find the percentage increase in his hourly wage, rounded to the nearest tenth of a percent.

For Exercises 9 and 10, fill in the blank cells of the table. For repeating decimals, use a bar to indicate the digit or digits that repeat. Reduce all fractions to lowest terms. You can show your work in the area beneath each table. Do the calculations without a calculator, since you will be asked to do this on the final exam without a calculator.

Exercise 9:

Fraction / Decimal / Percent
29
0.885
3%

Exercise 10:

Fraction / Decimal / Percent
92
1.01
47.8%