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 from a word problem?

Back

Identify the two quantities being compared and set them as a fraction equal to each other.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one fraction by the denominator of the other.

Front

If the ratio of height to width is 5:19 and the height is 2.5 inches, how do you find the width?

Back

Set up the proportion 5/19 = 2.5/x and solve for x.

Front

What is the formula to find distance when speed and time are known?

Back

Distance = Speed × Time.

Front

How do you calculate the unit rate?

Back

Divide the total quantity by the number of units to find the rate per unit.

Front

If 3 pounds of apples cost $0.90, how do you find the cost per pound?

Back

Divide the total cost by the total weight: $0.90 / 3 pounds = $0.30 per pound.

Front

What is the relationship between direct variation and proportions?

Back

Direct variation describes a relationship where one variable is a constant multiple of another, which can be expressed as a proportion.

Front

How do you solve a word problem involving currency exchange rates?

Back

Multiply the amount of money by the exchange rate to find the equivalent amount in the other currency.

Front

What is the importance of understanding ratios in real-life applications?

Back

Ratios help compare quantities and make decisions based on relative sizes, such as in recipes, finance, and scaling.