Solving Proportions

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 terms and then solve for the unknown variable.

Front

If a/b = c/d, what is the cross-multiplication method?

Back

The cross-multiplication method states that a * d = b * c.

Front

What is the first step in solving the proportion 2/x = 4/8?

Back

Cross-multiply to get 2 * 8 = 4 * x.

Front

If 5 cups of flour make 3 pies, how many cups are needed for 1 pie?

Back

1.67 cups of flour are needed for 1 pie.

Front

If 8 lbs of cheese are used for 4 pizzas, how much cheese is needed for 10 pizzas?

Back

20 lbs of cheese are needed for 10 pizzas.

Front

What is the formula for finding a missing value in a proportion?

Back

The formula is: missing value = (known value * other known value) / other known value.

Front

If 3/4 = x/16, how do you find x?

Back

Cross-multiply to get 3 * 16 = 4 * x, then solve for x.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used in cooking, scaling recipes, and in financial calculations.