Guide

Ratio

Ratio is the comparison between two or more quantities.

The ratio of a to b is denoted as a:b or a/b.

Illustrative Examples

The ratio shown by Harry Potter and Hermione Granger.

The ratio shown is 4 is to 2. This can be expressed as 4:2 or 4/2.

2. Compare the number of Hedwig and the quantity of the sorting hat.

The ratio shown is 1 is to 2. This can be expressed as 1:2 or 1/2.

Proportion

Proportion is the equality of two ratios, i.e., a:b = c:d.

These are the parts of a proportion.

Illustrative Example

Check whether the two ratios show proportion or not.

1 : 2 = 3 : 6

Multiply the means, that is, 2(3) = 6.

Also, multiply the extremes, that is, 1(6) = 6.

Comparing the products of the means and extremes, we can say that the ratios show proportion since they are equal to one another.

2. Check whether the two ratios show proportion or not.

3 : 2 = 2 : 4

Multiply the means, that is, 2(2) = 4.

Also, multiply the extremes, that is, 3(4) = 12.

Comparing the products of the means and extremes, we can say that the ratios do not show proportion since they are 4 is not equal to 12.

3. Solve for x in 3 : 5 = 9 : x

Multiply the means, that is, 5(9) = 45

Also, multiply the extremes, that is, 3(x) = 3x.

Equate the products, so that we have 3x = 45.

Divide both sides of the equation by 3, 3x = 45.

3 3

Thus, x = 15.

4. Read and analyze the recipe.

How to Make Any Easy and Delicious Salad with These Easy 1:2:3:4 Ratios

•1 cup of something hearty. By hearty, I suggest proteins like meats, cheeses, tofu, or beans or grains.

•2 tablespoons of something crunchy. Crunchy can be croutons, toasted nuts or fried Chinese noodles.

•3 types of vegetables or fruits. This balances the textures and flavors. Fennel, green apple, and celery; roasted tomato, peach, and green onion; or grilled zucchini, kohlrabi, and dried apricots could be some.

•4 loosely packed cups of leaves. The base of my salad is always about bowl of leaves to serve. From iceberg to arugula, kale, escarole, baby spinach, or a variety, four loose cups will fill the bottom of a nice salad bowl.

a. If we are going to consider 5 cups of something hearty, how many tablespoons of something crunchy do we need?

One of the ways on answering this kind of problem is by pictorial notation. See the solution below.

Solution:

something hearty (tofu)

something crunchy (crouton)

Solution:

For every 1 cup of something hearty, we need 2 tablespoons of something crunchy.

Thus, we need 10 tablespoons of something crunchy for 5 cups of something hearty.

Alternative Solution:

Multiply the means, that is, 2(5) = 10

Also, multiply the extremes, that is, 1(x) = x.

Equate the products, so that we have x = 10.

Thus, we need 10 tablespoons of something crunchy

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