Learn Before
Solving a Word Problem for the Cost Per Pound of Grapes
Apply the problem-solving strategy to find a unit cost using the Division Property of Equality.
Problem: Denae bought pounds of grapes for $10.74. What was the cost of one pound of grapes?
- Identify what to find: the cost of pound of grapes.
- Name the unknown: Let = the cost of one pound.
- Translate into a single sentence: "The cost of pounds is $10.74." This becomes the equation .
- Solve by dividing both sides by (Division Property of Equality):
- Answer: The grapes cost $1.79 per pound.
- Check by substituting back: Does ?
The answer is confirmed. This example illustrates how a real-world multiplication relationship — total cost equals the number of units times the cost per unit — translates into an equation of the form , which is solved by dividing both sides by the number of units.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.2 Solving Linear Equations and Inequalities - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Related
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 catering manager is reviewing a receipt for 6 pounds of grapes that cost a total of $10.74. To find the cost per pound (c), the manager sets up the equation 6c = 10.74. Which mathematical property is used to isolate 'c' and solve for the unit price?
A supply manager is calculating the unit price for a bulk order of ingredients. To find the cost per pound using the standard strategy for solving unit cost problems, arrange the following steps in the correct order.
A purchasing manager is using the equation 6c = 10.74 to determine the unit price of a bulk grape order. Match each part of the equation to the specific value it represents in this business calculation.
Unit Cost Invoice Verification
To solve the equation 6c = 10.74 for the cost per pound (c), a retail buyer must isolate the variable by dividing both sides of the equation by ____.
Translating Unit Cost Scenarios into Equations
In the first step of the problem-solving strategy for a scenario where 6 pounds of grapes cost $10.74, the 'Identify' step involves recognizing that the unknown value to be found is the cost of a single pound of grapes.
Standard Operating Procedure for Unit Cost Calculation
A procurement manager has calculated the unit price of a bulk shipment. To verify the accuracy of this calculation before submitting a budget report, which mathematical relationship should the manager use to 'check' the result against the total invoice amount?
A store manager is updating an inventory database and needs to determine the unit price of grapes from a recent invoice. According to the standard six-step problem-solving strategy, which step involves converting the descriptive sentence, 'The cost of 6 pounds of grapes is $10.74,' into the algebraic equation 6c = 10.74?