Unit 5 Practice: Proportional Reasoning
Name: _________________________
Date: __________________________
Part 1: Ratios, Rates, & Unit Rates
1. A fruit bowl contains 5 apples, 6 bananas, and 4 oranges. Write each ratio in simplest form.
a) Apples to bananas:
b) Oranges to total fruit:
2. A car travels 200 miles in 4 hours. What is its average speed in miles per hour (mph)?
3. Find the unit rate for each situation:
a) Earning $80 for 10 hours of work.
b) Typing 150 words in 3 minutes.
4. Which is the better buy? A 10-ounce bag of chips for $5.00 or a 12-ounce bag for $7.20?
Part 2: Solving Proportions
5. Solve each proportion for the variable.
a) \( \frac{x}{10} = \frac{2}{4} \)
b) \( \frac{5}{8} = \frac{10}{y} \)
6. If 2 notebooks cost $3.00, how much will 6 notebooks cost?
7. A map has a scale of 1 inch = 50 miles. If two cities are 4 inches apart on the map, how far apart are they in real life?
Part 3: Percent Applications
8. Calculate the following:
a) What is 20% of 80?
b) Find 50% of 62.
9. A T-shirt that originally costs $20 is on sale for 25% off. What is the sale price?
10. Your lunch bill is $30. You want to leave a 20% tip. What is the total cost of your meal?
11. You buy a new video game for $60. The sales tax is 5%. What is the total price you will pay?