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 set up a proportion to solve a word problem?

Back

Identify the two ratios involved in the problem and set them equal to each other.

Front

If a machine produces 300 widgets in 6 hours, how many widgets does it produce in 1 hour?

Back

50 widgets.

Front

If a train travels 300 miles in 5 hours, what is its speed in miles per hour?

Back

60 miles per hour.

Front

How do you find the total output of a machine running for a different amount of time?

Back

Multiply the output per hour by the total hours the machine runs.

Front

If a recipe requires 3 cups of cheese for 6 pizzas, how much cheese is needed for 1 pizza?

Back

0.5 cups of cheese.

Front

What is the formula to find the number of items needed for a larger quantity based on a smaller quantity?

Back

(Number of items needed) = (Items in smaller quantity) x (Larger quantity / Smaller quantity).

Front

If a recipe calls for 2 cups of flour to make 12 cookies, how many cups are needed for 24 cookies?

Back

4 cups of flour.

Front

What is the relationship between the number of cookies and the amount of sugar in a recipe?

Back

The amount of sugar needed increases proportionally with the number of cookies.

Front

How do you calculate the distance traveled by a train if you know its speed and time?

Back

Distance = Speed x Time.