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 two ratios and set the products equal to each other.

Front

What is the formula for finding the percent of a quantity?

Back

Percent = (Part/Whole) x 100.

Front

How do you convert a fraction to a percent?

Back

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

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object that is proportional to its actual size.

Front

If a scale is 1 cm:5 m, how do you find the actual length from the drawing?

Back

Multiply the length in the drawing by the scale factor (5 m for each cm).

Front

What is the relationship between shadow length and height in similar triangles?

Back

In similar triangles, the ratio of the heights is equal to the ratio of the lengths of the shadows.

Front

How do you find the total cost when given a unit price?

Back

Total Cost = Unit Price x Quantity.

Front

What is the formula for calculating the total number of items based on a percentage?

Back

Total Items = (Percentage x Total) / 100.

Front

How do you set up a proportion to solve a word problem?

Back

Identify the two ratios involved in the problem and set them equal to each other.