Solving a Tip Calculation Using a Percent Equation
Apply the seven-step problem-solving strategy to a percent application in which the amount (the tip) is the unknown.
Problem: Dezohn's restaurant bill was $68.50, and he wants to leave an tip. How much should the tip be?
- Identify what to find: the dollar amount of the tip.
- Name the unknown: Let = the tip amount.
- Translate into a percent sentence and equation: "The tip is of the total bill" becomes
- Solve by multiplying:
- Check — a quick reasonableness test: of $70 would be $14, so $12.33 for of $68.50 is sensible.
- Answer: Dezohn should leave a tip of $12.33.
This problem is a "find the amount" percent equation — the percent and the base are both known, so the variable is already isolated after translation and only a single multiplication step is needed. Choosing the letter (for "tip") makes the equation easier to read and interpret in context.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.3 Math Models - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Intermediate Algebra @ OpenStax
Ch.4 Systems of Linear Equations - Intermediate Algebra @ OpenStax
Related
Solving 'What number is 35% of 90?'
Solving '6.5% of what number is $1.17?'
Solving '144 is what percent of 96?'
Solving a Tip Calculation Using a Percent Equation
Finding the Total Recommended Daily Amount of Potassium
Finding the Percent of Calories from Fat
Procedure for Finding Percent Increase
Procedure for Finding Percent Decrease
Discount Applications in Percent Problems
Mark-up Applications in Percent Problems
A logistics coordinator is calculating a fuel surcharge for a shipping route. The coordinator uses the sentence: 'What number is 8% of $1,250?' Which equation represents the correct translation of this sentence into an algebraic equation?
A payroll specialist is translating a policy manual's instructions into mathematical equations to calculate employee benefits. Match each English word or phrase commonly found in these percent-based calculations with its correct algebraic representation.
When translating a professional sentence like 'The new hire's salary is 90% of the standard rate' into an algebraic equation, the word 'is' should be replaced with an equals sign (=).
Identifying Quantities in Payroll Percent Calculations
A human resources specialist is translating a company benefits policy: 'The employer's retirement contribution is 7% of the employee's gross monthly pay.' To represent this relationship in an algebraic equation, the word 'of' must be translated into the mathematical operation of ________.
A project manager is translating a budget requirement into a mathematical formula: 'The licensing fee is 15% of the total project cost.' Arrange the following steps in the correct order to translate this sentence into a basic algebraic equation.
Developing Professional Standards for Percent Equation Translation
Professional Standards for Translating Percent-Based Financial Sentences
A quality control inspector is translating the following professional sentence into an algebraic equation: 'The defect rate was 0.5% of the total production run.' According to the standard rules for translating percent sentences, what is the correct decimal form of 0.5% that must be written in the equation?
A warehouse supervisor is calculating total inventory levels based on a defect report. The supervisor uses the sentence: '3.5% of what number is 42?' Which of the following algebraic equations correctly translates this sentence?
Solving for the Percent of Calories from Fat in Muffins
Solving for the Percent of Calories from Fat in Brownies
Principal (Algebra)
Rate of Interest (Algebra)
Example: Solving for the Percent of Calories from Fat in Muffins
Calculating Percent Change
Solving 'What number is 45% of 84?'
Solving '8.5% of what amount is $4.76?'
Solving '168 is what percent of 112?'
Solving a Word Problem about the Recommended Daily Amount of Protein in Yogurt
Example: Solving a Word Problem for a Car's Sticker Price
Solving a Word Problem for the Cost Per Pound of Grapes
Solving a Word Problem for a Car's Original Price
Strategy for Solving Formula-Based Applications
Solving a Word Problem for the Number of Boys in a Study Group
Number Problems
Expressing Multiple Unknowns in Terms of a Single Variable
Solving a Combined-Earnings Word Problem Using 'Less Than Twice'
Solving a Tip Calculation Using a Percent Equation
Finding the Total Recommended Daily Amount of Potassium
Finding the Percent of Calories from Fat
Mixture Problems
Problem-Solving Strategy for Systems of Linear Equations
Discarding Unrealistic Negative Solutions in Applications
A retail manager is calculating the necessary markup for a new product line to meet a specific profit goal. To solve this word problem using the standard seven-step algebraic strategy, arrange the first four steps in the correct chronological order.
A project manager is training a new hire on the company's standard seven-step algebraic strategy for solving budget-related word problems. Match each step of the strategy with its correct description to ensure the team follows a consistent process.
A payroll specialist is using the standard seven-step problem-solving strategy to determine a staff member's total overtime compensation. After solving the algebraic equation, the specialist must perform the 'Check' step. What is the primary objective of this step?
Finalizing the Algebraic Problem-Solving Process
A project manager is using the standard seven-step problem-solving strategy to calculate the total budget for a new initiative. True or False: The 'Identify' step of this strategy involves choosing a specific variable, such as 'x', to represent the unknown budget amount.
Recruitment Budget Analysis
A logistics coordinator is following a seven-step strategy to calculate the total number of shipping containers needed for a large export order. After choosing a variable to represent the unknown quantity, the coordinator converts the written requirements of the problem into a mathematical equation. This fourth step in the problem-solving strategy is the ____ step.
Standardizing the Problem-Solving Workflow
A procurement officer is using the standard seven-step algebraic strategy to determine the unit cost of a large supply order. In the third step of this process, known as 'Name', what specific action is required?
A training coordinator is using a standard seven-step strategy to calculate the number of workshops needed for a department expansion. After successfully translating the word problem into a mathematical equation, what is the next step the coordinator must perform according to this strategy?
Solving for Two Consecutive Odd Integers Whose Product is
Solving for Two Consecutive Odd Integers Whose Product is
Solving for Two Consecutive Odd Integers Whose Product is
Example: Solving a Word Problem about Snowfall
Example: Solving a Word Problem about Books
Example: Solving a Word Problem about Puzzles
Learn After
A corporate event planner is calculating the gratuity for a business banquet that cost $1,200.00. If the planner needs to find a 15% tip (represented by the variable t), which equation correctly translates the statement 'The tip is 15% of the total cost'?
A project manager is calculating a 15% tip for a $120.00 team lunch. Arrange the following steps of the problem-solving strategy in the correct order, from first to last, to find the tip amount.
When an administrative assistant is calculating a 15% tip for a $120.00 team lunch using a percent equation, the word 'of' in the phrase '15% of the total' indicates that they should use the mathematical operation of ____.
A corporate event coordinator is calculating a 20% gratuity for a $150.00 team catering bill. To find the tip, they use the percent equation: . Match each part of this equation to its corresponding role in the problem-solving process.
In a corporate travel expense report, a manager uses the percent equation to calculate the gratuity for a client dinner. In this specific equation, the variable represents the total amount of the bill including the tip.
The 'Check' Step in Percent Applications
Expense Auditing and Gratuity Components
Standardized Gratuity Calculations for Expense Reports
An office manager is following the seven-step problem-solving strategy to calculate a 15% gratuity for a corporate lunch. What is the primary purpose of the 'Name' step in this process?
A corporate auditor is applying a structured problem-solving strategy to calculate a 15% tip on a large catering invoice. According to this strategy, what is the primary goal of the first step, 'Identify'?
Calculating a Tip for a Dinner Bill