Word Problems on Ratios and Costs

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

Front

What is the cost per pound of an item?

Back

The cost per pound is calculated by dividing the total cost by the weight in pounds.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are in proportion.

Front

What does it mean for polygons to be similar?

Back

Similar polygons have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

How do you find the missing length in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing length.

Front

What is the formula for finding the cost per unit?

Back

Cost per unit = Total cost / Number of units.

Front

How do you determine which item has the highest cost per pound?

Back

Calculate the cost per pound for each item and compare the values.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second is the denominator.

Front

What is the first step in solving a word problem involving ratios?

Back

Identify the quantities involved and express them in ratio form.