Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers used are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

If the ratio of black jeans to blue jeans is 6:18, what is the simplified form of this ratio?

Back

The simplified form of the ratio 6:18 is 1:3.

Front

How do you calculate the total number of items given a ratio and a total quantity?

Back

To calculate the number of items in a ratio, first find the total parts of the ratio, then divide the total quantity by the total parts to find the value of one part, and finally multiply by the number of parts for the specific item.

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or cost per item.

Front

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, write two ratios equal to each other, then cross-multiply to solve for the unknown.

Front

If Ritz can eat 6 apples in 15 minutes, how do you find the time to eat 16 apples?

Back

First, find the unit rate (time per apple), then multiply that rate by the number of apples (16) to find the total time.

Front

What is the formula to find the cost of multiple items based on a unit price?

Back

The formula is: Total Cost = Unit Price x Number of Items.

Front

How do you determine the number of items in a specific category given a total and a ratio?

Back

Use the ratio to find the total parts, divide the total number of items by the total parts to find the value of one part, and then multiply by the number of parts for the specific category.

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.