Learn Before
Problem-Solving Strategy for Coin Word Problems
When solving a word problem that involves coins of different types, the general seven-step problem-solving strategy is adapted with organizational tools specific to coin contexts. The revised steps are:
- Read the problem. Make sure all the words and ideas are understood. Determine which types of coins are involved.
- Create a table to organize the information.
- Label the columns: Type, Number, Value, Total Value.
- List the types of coins.
- Write in the value of each type of coin.
- Write in the total value of all the coins.
- Identify what you are looking for.
- Name what you are looking for. Choose a variable to represent that quantity. Use variable expressions to represent the number of each type of coin and write them in the table. Multiply the number times the value to get the total value of each type of coin.
- Translate into an equation. It may be helpful to restate the problem in one sentence with all the important information. Then translate the sentence into an equation by adding the total values of all the types of coins.
- Solve the equation using good algebra techniques.
- Check the answer in the problem and make sure it makes sense.
- Answer the question with a complete sentence.
The key adaptations for coin problems are in Step 1 and Step 3: the four-column table keeps the coin types, their counts, their per-unit values, and their total values organized in one place, making it straightforward to build the equation in Step 4 by summing the entries in the Total Value column.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Intermediate Algebra @ OpenStax
Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
Related
Solving a Coin Mixture Problem: Dimes and Nickels
Solving a Coin Mixture Problem: Pennies and Nickels
Solving a Ticket Mixture Problem: Student and Adult Tickets
Solving a Stamp Mixture Problem: 41-Cent and 2-Cent Stamps
Solving a Mixture Word Problem: Trail Mix (Raisins and Nuts)
Problem-Solving Strategy for Coin Word Problems
In a professional setting such as a bank or retail store, which formula is used to calculate the total value of a collection of identical coins?
Match each component of the coin value model to its correct description as used in professional cash handling and accounting.
When a retail associate is performing a drawer count at the end of a shift, they calculate the total value of a specific coin type by multiplying the number of coins by the ____ of a single coin.
In a retail cash-handling procedure, the total value of a specific denomination of coins in a register drawer is determined by multiplying the total number of those coins by the monetary value of a single coin.
A retail associate is performing an end-of-shift cash count and needs to determine the total value of the nickels in their drawer. Arrange the steps of the 'Total Value of Coins Model' in the correct logical sequence to complete this task.
Mathematical Model for Cash Audits
Professional Cash Handling and Audit Procedures
Standardized Calculation for Cash Denominations
In a professional cash-handling environment, what is the standard procedure for determining the overall value of a collection that contains several different types of coins, such as quarters, dimes, and nickels?
A banking associate is reviewing the 'Total Value of Coins Model' training manual. According to the specific example provided in the model, if an associate counts 17 dimes and each dime is worth $0.10, what is the resulting 'total value' of that collection?
Calculating Total Value of a Mixed Coin Collection
Calculating the Total Value of a Single Pile of Coins
Learn After
A store manager is reconciling the daily receipts and needs to organize a count of various coins. According to the standard problem-solving strategy for coin word problems, which four labels should be used as the headers for the organizational table?
A retail supervisor is training a new cashier on how to calculate the number of specific coins in a till when only the total value and a relationship between the coin counts are known. Arrange the following steps of the coin problem-solving strategy in the correct chronological order.
A small business owner is using the standard seven-step strategy to solve a coin-related word problem for their monthly cash report. Match each column header from the organizational table to the specific type of data it should contain.
A retail supervisor is training a new cashier on how to use an organizational table to solve coin-related word problems for a cash drawer reconciliation. True or False: In the 'Translate' step of this strategy, the final equation is created by summing the entries in the 'Total Value' column of the table.
Procedural Calculation in the Coin Strategy
Finalizing a Professional Cash Reconciliation
A retail supervisor is training a new cashier to use an organizational table for cash drawer audits. They explain that the entry in the 'Total Value' column for any specific coin type is always found by multiplying the 'Number' of those coins by the ____ of a single coin.
Documenting the Coin Reconciliation Strategy
A payroll administrator is using a specialized seven-step strategy to reconcile a petty cash account containing nickels and dimes. During the 'Check' step of this process, where is it most appropriate to verify the calculated result to ensure that the initial translation of the problem into an equation was accurate?
An office manager is using the seven-step problem-solving strategy to reconcile a petty cash drawer containing various denominations. After the manager has successfully solved the algebraic equation and verified that the result is logical, what is the final step required to complete the strategy?
Example: Solving a Coin Mixture Problem with Quarters and Nickels
Example: Solving a Coin Mixture Problem with Dimes and Nickels
Ticket and Stamp Mixture Problems
Example: Solving a Stamp Mixture Problem with 49-Cent and 35-Cent Stamps
Example: Another Stamp Mixture Problem with 49-Cent and 35-Cent Stamps
Example: Solving a Stamp Mixture Problem with 49-Cent and 20-Cent Stamps