Mason Percent Proportion Word Problems

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

Front

How do you calculate the percent of a part compared to a whole?

Back

To calculate the percent of a part compared to a whole, use the formula: (Part/Whole) x 100. For example, if you have 30 out of 150, the percent is (30/150) x 100 = 20%.

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 percent proportion problem?

Back

To solve a percent proportion problem, set up a proportion where the part is to the whole as the percent is to 100. For example, if you want to find what percent 25 is of 200, set it up as 25/200 = x/100.

Front

What is the formula to find the part when given the percent and whole?

Back

The formula to find the part is: Part = (Percent/100) x Whole. For example, to find 30% of 200, calculate (30/100) x 200 = 60.

Front

If a team won 75% of its games and played 80 games, how many games did they win?

Back

To find the number of games won, use the formula: Games Won = (Percent/100) x Total Games. So, (75/100) x 80 = 60 games.

Front

What does it mean if 20% of a group voted in favor of a proposal?

Back

It means that out of the total group, 20 out of every 100 members supported the proposal. If there are 50 members, then 20% means 10 members voted in favor.

Front

How do you find the discount amount when given a percent discount?

Back

To find the discount amount, use the formula: Discount = (Discount Percent/100) x Original Price. For example, for a $50 item with a 20% discount, the discount is (20/100) x 50 = $10.

Front

What is the relationship between fractions and percents?

Back

Fractions and percents are two ways to represent the same concept. For example, 1/4 is equivalent to 25% because 1 divided by 4 equals 0.25, which is 25 out of 100.

Front

If a store has a sale of 30% off, how do you find the sale price?

Back

To find the sale price, first calculate the discount amount using the formula: Discount = (Discount Percent/100) x Original Price, then subtract the discount from the original price.