Solve multi-step percent problems in context using proportional reasoning, including simple interest, tax, gratuities,
commissions, fees, markups and markdowns, percent increase, and percent decrease.

Arizona Academic Standards:
7.RP.A.3

Use proportional relationships to solve multi-step ratio and percent problems (e.g., simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error).

Common Core State Standards:
Math.7.RP.3 or 7.RP.A.3

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Georgia Standards of Excellence (GSE):
7.PAR.4.9

Use proportional relationships to solve multi-step ratio and percent problems presented in applicable situations.

Louisiana Academic Standards:
7.RP.A.3

Use proportional relationships to solve multi-step ratio and percent problems of simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, and percent error.

North Carolina - Standard Course of Study:
7.RP.3

Use scale factors and unit rates in proportional relationships to solve ratio and percent problems.

New York State Next Generation Learning Standards:
7.RP.3

Use proportional relationships to solve multi-step ratio and percent problems. Note: Examples of percent problems include: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, and percent error.

Wisconsin Academic Standards:
7.RP.A.3

Use proportional relationships to solve multi-step ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Pennsylvania Core Standards:
CC.2.1.7.D.1

Analyze proportional relationships and use them to model and solve real-world and mathematical problems.

Pennsylvania Core Standards:
M07.A-R.1.1.6

Use proportional relationships to solve multi-step ratio and percent problems.

Georgia Standards of Excellence (GSE):
7.PAR.4.9

Use proportional relationships to
solve multi-step ratio and percent
problems presented in applicable
situations.

7th Grade Math - Ratio & Percent Problems Lesson

A percent can be used to represent the ratio between two quantities. A percent of a number can be found by multiplying the percent by the number.

Percents can be used to find:

Simple interest

Tax

Markups

Discounts

Gratuities

Commissions

Fees

Percent increase and decrease

Percent error

Example:

The sales tax is 7.5% of $55.60. First, multiply 7.5% by $55.60 to find the sales tax.

7.5% × $55.60

=

0.075 × $55.60

=

$4.17

Then, add the sales tax to the cost of the clothes.

$55.60 + $4.17 = $59.77

So, Summer spent $59.77 with tax included.

Example:

First, find the decrease in the number of employees.

125 - 105 = 20

Then, find the percent decrease by dividing the decrease by the original number of employees.

20 ÷ 125

=

0.16

=

16%

So, the number of employees at the company decreased by 16%.

Percent error is used to show how far an experimental value is from an actual or expected value.

Percent error can be found using the formula below.