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

What is the ratio of girls to boys if there are 6 girls and 21 boys?

Back

The ratio of girls to boys is 2:7.

Front

If a recipe requires 4 eggs for 2 cakes, how many eggs are needed for 7 cakes?

Back

14 eggs are needed for 7 cakes, as the ratio of eggs to cakes is 2:1.

Front

What is the first step to solve a problem involving ratios?

Back

The first step is to identify the quantities involved and their relationship.

Front

How can you express the ratio 12:20 in simplest form?

Back

The simplest form of the ratio 12:20 is 3:5.

Front

If Robby has 48 cattle in a ratio of 7:5, how do you determine the number of each type of cow?

Back

To determine the number of each type of cow, first add the parts of the ratio (7 + 5 = 12). Then divide the total number of cattle (48) by the total parts (12) to find the value of one part (4). Multiply each part of the ratio by this value: 7 parts for Holsteins (7*4=28) and 5 parts for Jerseys (5*4=20).

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.

Front

How do you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply the terms and see if the products are equal.

Front

What is a practical application of understanding ratios?

Back

Understanding ratios is essential in real-life situations such as cooking, mixing solutions, and comparing quantities.