Ratios and Proportions Word Problems

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, 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 two ratios and set the products equal to each other.

Front

What is the formula for finding a percentage?

Back

Percentage = (Part/Whole) x 100.

Front

If 34% of a number is 51, how do you find the number?

Back

Divide 51 by 0.34 to find the whole number.

Front

What is the relationship between similar triangles and ratios?

Back

In similar triangles, the ratios of corresponding sides are equal.

Front

How do you find the length of a shadow using ratios?

Back

Use the ratio of the height of the object to the length of its shadow, and set it equal to the ratio of the height of another object to its shadow length.

Front

What is the formula to calculate the height of an object using shadows?

Back

Height of object 1 / Length of shadow 1 = Height of object 2 / Length of shadow 2.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How do you convert a percentage to a decimal?

Back

Divide the percentage by 100.