Rate Word Problems

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, price per item).

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you have 15 dollars for 3 gallons of gas, the unit rate is 15 ÷ 3 = 5 dollars per gallon.

Front

What is the formula to find the total amount using a unit rate?

Back

Total Amount = Unit Rate × Number of Units. For example, if the unit rate is 5 dollars per gallon and you buy 4 gallons, the total amount is 5 × 4 = 20 dollars.

Front

Why is it important to find unit rates in word problems?

Back

Finding unit rates helps simplify comparisons and calculations, making it easier to understand relationships between quantities.

Front

What is the unit rate of 408 words in 4 minutes?

Back

The unit rate is 408 words ÷ 4 minutes = 102 words per minute.

Front

If a store sees 120 customers in 8 hours, what is the unit rate of customers per hour?

Back

The unit rate is 120 customers ÷ 8 hours = 15 customers per hour.

Front

How can you use unit rates to solve for an unknown quantity?

Back

You can set up a proportion using the unit rate to find the unknown quantity. For example, if the unit rate is 5 dollars per item and you want to find the cost for 10 items, you can use 5 × 10 = 50 dollars.

Front

What is the price per gallon if 6 gallons cost $15.00?

Back

The price per gallon is $15.00 ÷ 6 gallons = $2.50 per gallon.

Front

How do you convert a word problem into a mathematical equation?

Back

Identify the quantities involved, determine the relationships between them, and express these relationships using mathematical symbols and operations.

Front

What is the significance of understanding ratios in word problems?

Back

Understanding ratios allows you to compare different quantities and make informed decisions based on those comparisons.