How Does Proportions | Solving Proportions with Variables Work?

Proportions are like comparing two similar things to see if they match up just right, think of it as making sure your cookie dough is evenly divided between you and your friend.

Imagine you have a recipe that says 2 cups of flour makes 4 cookies. If you want to make 6 cookies, how much flour do you need? That's solving a proportion with variables!

Let’s say you and your friend are sharing candy. You get 3 pieces, and your friend gets 5 pieces. Now imagine you both double the amount, you get 6 pieces, and your friend gets 10 pieces. The ratio of your candies stayed the same: 3 to 5.

When there’s a variable, like x, it’s like saying, “If I have 2 cups of flour for 4 cookies, how much flour do I need for 6 cookies?” You can write that as:

2 / 4 = x / 6

To solve this, you cross-multiply, 2 × 6 = 4 × x, which gives 12 = 4x. Then divide both sides by 4 to find x = 3.

So you need 3 cups of flour for 6 cookies, just like sharing candy, but with baking!