Explore Practical Applications of Ratios

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

How do you solve a ratio problem?

Back

To solve a ratio problem, set up a proportion based on the given ratios and cross-multiply to find the unknown quantity.

Front

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

Back

6 cups of sugar (since 2/3 = x/9, x = 6).

Front

What does it mean if two ratios are equivalent?

Back

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

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity (e.g., a:b = a/b).

Front

What is a scale ratio in maps?

Back

A scale ratio in maps shows the relationship between a distance on the map and the actual distance it represents in real life.

Front

If 5 lychees balance with 2 limes, how many lychees balance with 10 limes?

Back

25 lychees (5/2 = x/10, x = 25).

Front

How do you find the cost per item using ratios?

Back

To find the cost per item, divide the total cost by the number of items (e.g., $15 for 6 notebooks = $15/6 = $2.50 per notebook).

Front

What is the ratio of red paint to yellow paint if Riku uses 4 cups of red for every 3 cups of yellow?

Back

The ratio is 4:3.

Front

If Juan mixes 2 ounces of blue with 3 gallons of white, what is his ratio of blue to white?

Back

The ratio is 2:3.