Ratios and Proportions Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you write a proportion?

Back

A proportion is an equation that states that two ratios are equal, typically written as a/b = c/d.

Front

If the ratio of dogs to cats is 5 to 3, how can you find the number of cats if you know the number of dogs?

Back

You can set up a proportion: 5/3 = 25/c, where 25 is the number of dogs. Solve for c to find the number of cats.

Front

What is the formula to find the total number of chairs needed if you have a certain number of tables?

Back

Total chairs = Number of tables × Chairs per table.

Front

If 4 apples cost $3, how do you find the cost of 12 apples?

Back

Set up a proportion: 4 apples/$3 = 12 apples/x. Cross-multiply and solve for x.

Front

How do you calculate earnings per hour if you know total earnings and total hours worked?

Back

Earnings per hour = Total earnings / Total hours worked.

Front

What does it mean to find the best value in terms of price per ounce?

Back

Finding the best value means comparing the cost of items based on their price per unit (e.g., price per ounce) to determine which offers the most for the least cost.

Front

If you have a ratio of 5:3 and 25 dogs, how many cats do you have?

Back

Using the proportion 5/3 = 25/c, you find c = 15 cats.

Front

What is the total number of chairs needed for 5 tables if each table requires 4 chairs?

Back

Total chairs = 5 tables × 4 chairs/table = 20 chairs.

Front

How much would 12 apples cost if 4 apples cost $3?

Back

Cost for 12 apples = (12/4) × $3 = $9.