Ratio Tables

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:b'.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they simplify to the same fraction.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios, helping to visualize the relationship between quantities.

Front

If a ratio is 3:5, what is the equivalent ratio when both terms are multiplied by 2?

Back

The equivalent ratio is 6:10.

Front

How can you find an unknown in a ratio?

Back

You can find an unknown in a ratio by setting up a proportion and cross-multiplying to solve for the unknown.

Front

What is the purpose of using ratio tables in problem-solving?

Back

Ratio tables help organize information and make it easier to see relationships between quantities, aiding in solving problems.

Front

If 12 bags of popcorn cost $36, how much would 20 bags cost?

Back

$60 (using the ratio of cost to bags: 36/12 = 3, so 20 bags cost 20*3 = 60).

Front

What is the relationship between the quantities in a ratio?

Back

The relationship in a ratio shows how much of one quantity there is compared to another, indicating proportionality.

Front

If Kevin mixes 35 oz of yellow paint with a ratio of 5:3 yellow to red, how much red paint does he need?

Back

21 oz of red paint.