Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion for a word problem?

Back

Identify the two quantities that are being compared and set them equal to each other in fraction form.

Front

What is the formula for finding the total amount based on a unit rate?

Back

Total Amount = Unit Rate × Number of Units.

Front

If a candle burns down at a constant rate, how can you find the time it takes to burn a different size candle?

Back

Use the ratio of the sizes of the candles to set up a proportion with their burn times.

Front

How do you calculate the cost of multiple items when given the cost of a certain number of items?

Back

Divide the total cost by the number of items to find the unit price, then multiply by the desired number of items.

Front

What is the relationship between distance, rate, and time?

Back

Distance = Rate × Time.

Front

How can you find the total earnings based on hourly wage and hours worked?

Back

Total Earnings = Hourly Wage × Hours Worked.

Front

What is the unit rate?

Back

The unit rate is a comparison of any two units of measure, expressed as a quantity of one.

Front

How do you solve for an unknown in a proportion?

Back

Cross-multiply the known values and then solve for the unknown.

Front

What is the significance of equivalent ratios in solving word problems?

Back

Equivalent ratios help to establish relationships between different quantities, allowing for comparisons and calculations.