Ratios and Equivalent Ratio Word Problems

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 to b' or 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 quantities, even if the numbers are different.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much flour is needed for 9 cups of sugar?

Back

6 cups of flour (because 2/3 = x/9, solving gives x = 6).

Front

What is the formula to find a missing value in a proportion?

Back

If a/b = c/d, then ad = bc. You can cross-multiply to find the missing value.

Front

How can you solve a word problem involving ratios?

Back

Identify the quantities involved, set up a ratio, and use equivalent ratios or proportions to find the unknown.

Front

What is the ratio of red apples to green apples if there are 8 red apples and 6 green apples?

Back

The ratio is 4 to 3 (8:6 simplifies to 4:3).

Front

If Carl spends $5 on movies for every $15 on video games, what is the ratio of movies to video games?

Back

The ratio is 1 to 3 (5:15 simplifies to 1:3).

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio a:b into a fraction, you write it as a/b.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and equivalent ratios correspond to equivalent fractions.