Equivalent Ratio || Word problems

Standard: 6.RP.A.3a

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

Learning Outcomes

Learn to solve real-world word problems by identifying and using equivalent ratios.
Understand how to find missing values in ratio relationships with simple calculations.
Apply equivalent ratios to practical situations, such as scaling quantities, comparing prices, or calculating distances and speeds.
Develop reasoning skills to analyze and solve ratio problems step by step.
Gain confidence in using equivalent ratios to make accurate predictions and decisions in everyday life.

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Unlock the concept of equivalent ratios with a detailed, step-by-step guide designed to help you master the topic! This resource is perfect for students working on 6th-grade math and anyone looking to strengthen their understanding of ratios. Learn how to create ratio tables, find missing values, and solve real-world word problems with ease.

Create Ratio Tables

Start by organizing quantities into tables.

A ratio table helps visualize how

two quantities are related.

For example, if a recipe calls for 2 cups of flour

to make 4 cookies, you can create a table

to find how much flour is needed for 6 cookies:

Flour (cups)	Cookies
2	4
?	6

Find Missing Values

Once you have a ratio, use multiplication

or division to find missing values.

For the example above, the ratio of flour

to cookies is 2:4, or 1:2.

So, to find how much flour is needed for

6 cookies,

you multiply:

Flour = 6/2×1=3cups

So, for 6 cookies, you need 3 cups of flour.

Problem:

A car travels 60 miles in 2 hours. How far will it travel in 5 hours if it maintains the same speed?

Understand the Relationship

The ratio of distance to time is 60miles:2hours.

Simplify the Ratio

Divide both terms of the ratio by 2 to find the distance traveled in 1 hour:

60/2=30 miles per hour.

Calculate for 5 Hours

Multiply the distance per hour (miles 30miles) by 5 hours:

Distance=30×5=150miles.

Final Answer

The car will travel 150 miles in 5 hours.

Did you know?

Equivalent ratios form the basis for proportional reasoning, essential in math and everyday life, like budgeting or cooking. With easy examples and engaging 6th-grade problems, this resource provides everything you need to master ratios, improve problem-solving skills, and boost confidence in math.

Explore NumericWiz's treasures trove of worksheets start solving ratio problems today and bring math to life!