Solving Proportions

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 then solve for the unknown variable.

Front

What is cross-multiplication in proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 11/10 = 22/X, what is the value of X?

Back

X = 20, found by cross-multiplying and solving the equation.

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, they represent the same relationship between quantities.

Front

How can you check if two fractions are equivalent?

Back

You can check by cross-multiplying or simplifying both fractions to see if they are equal.

Front

What is the relationship between the quantities in a proportion?

Back

The relationship is that the product of the means equals the product of the extremes.

Front

What is an example of a real-world application of proportions?

Back

Determining how long a larger bottle of shampoo will last based on the usage of a smaller bottle.

Front

If a 12-ounce bottle lasts 16 weeks, how long will an 18-ounce bottle last?

Back

24 weeks, calculated using the proportion of ounces to weeks.

Front

What is the formula for setting up a proportion?

Back

The formula is a/b = c/d, where a, b, c, and d are quantities.