Proportion Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion word problem?

Back

To solve a proportion word problem, identify the ratios involved, set up a proportion equation, and solve for the unknown variable.

Front

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

Back

If a/b = c/x, then x = (b * c) / a.

Front

What does it mean if a rate holds true in all cases?

Back

It means that the same ratio or proportion applies to the entire group or population being considered.

Front

If 63 out of 70 students are earning an A or B, what is the proportion of students earning these grades?

Back

The proportion is 63/70 or approximately 0.9 (90%).

Front

How do you find the total number of items based on a known proportion?

Back

Multiply the total population by the proportion to find the number of items. For example, if 90% of 240 students earn A or B, then 240 * 0.9 = 216.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

If the ratio of sugar to flour is 1:5, how much sugar is needed for 25 cups of flour?

Back

5 cups of sugar are needed.

Front

What is the relationship between enlargement and proportions in geometry?

Back

When an object is enlarged, the dimensions increase proportionally. For example, if a painting's width increases from 3 in. to 15 in., the height also increases proportionally.

Front

How do you calculate the expected duration of a product based on its size?

Back

Use the ratio of the original size to the new size to find the expected duration. For example, if a 12-ounce bottle lasts 16 weeks, an 18-ounce bottle would last 24 weeks.