Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

Front

What does it mean when a map scale says 1 inch represents 10 miles?

Back

It means that every inch on the map corresponds to 10 actual miles in real life.

Front

If a train travels 500 miles in 10 hours, what is its speed in miles per hour?

Back

The speed is 50 miles per hour (500 miles ÷ 10 hours).

Front

How do you find the distance traveled if you know the speed and time?

Back

Distance = Speed × Time.

Front

If a recipe calls for 3 cups of sugar for 24 cookies, how much sugar is needed for 12 cookies?

Back

1.5 cups of sugar (3 cups ÷ 24 cookies × 12 cookies).

Front

What is the formula to find the number of items produced over time?

Back

Number of items = Rate of production × Time.

Front

If a car travels 240 miles in 4 hours, what is its average speed?

Back

The average speed is 60 miles per hour (240 miles ÷ 4 hours).

Front

How do you scale a recipe?

Back

To scale a recipe, multiply each ingredient by the same factor based on how many servings you want.

Front

What is the relationship between distance, speed, and time?

Back

Distance is directly proportional to speed and time.