Ratio and Proportion Word Problems Flashcard

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

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 terms and then solve for the unknown variable.

Front

If 1 inch represents 10 miles, how do you convert miles to inches on a map?

Back

To convert miles to inches, divide the number of miles by 10.

Front

What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

The ratio of pears to all fruit is 5:11.

Front

How do you find the total number of items in a ratio problem?

Back

Add all parts of the ratio together to find the total number of items.

Front

If a data entry specialist can enter 40 records in 3 hours, how do you find the time for 60 records?

Back

Set up a proportion based on the known rate and solve for the unknown time.

Front

What is the formula for finding a missing value in a ratio?

Back

If a:b = c:x, then x = (b*c)/a.

Front

How do you express a ratio in simplest form?

Back

Divide both terms of the ratio by their greatest common divisor.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.