Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, indicating how many times the first number contains the second.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or in words (e.g., 3 to 2).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

Front

If a ratio of students preferring tacos to pizza is 3:2 and there are 90 students preferring tacos, how many prefer pizza?

Back

60 students prefer pizza.

Front

In a fishing scenario, if the ratio of bass to catfish is 1:2 and 14 catfish are caught, how many bass are caught?

Back

7 bass are caught.

Front

If tomatoes and cucumbers are planted in a 4:1 ratio and there are 7 cucumber plants, how many tomato plants are there?

Back

There are 28 tomato plants.

Front

What is the ratio of 8:12 simplified?

Back

The ratio 8:12 simplifies to 2:3.

Front

Are the ratios 1:2 and 4:7 equivalent?

Back

No, the ratios 1:2 and 4:7 are not equivalent.

Front

What is the first step in solving a problem involving ratios?

Back

Identify the given ratios and the quantities involved.