Proportional Word Problems

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

What does it mean for two quantities to vary directly?

Back

Two quantities vary directly if one quantity is a constant multiple of the other, meaning as one increases, the other increases at a constant rate.

Front

How do you find a percentage of a quantity?

Back

To find a percentage of a quantity, divide the part by the whole and multiply by 100.

Front

What is the formula for finding the scale of a drawing?

Back

The scale of a drawing is found by comparing the dimensions of the drawing to the actual dimensions, often expressed as a ratio.

Front

If a recipe calls for 2 cups of sugar for every 3 cups of flour, how much sugar is needed for 9 cups of flour?

Back

6 cups of sugar.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is expressed as Distance = Rate × Time.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity.

Front

If 5 out of 25 students are wearing glasses, what percent of students are wearing glasses?

Back

20%.