the coin jar mystery. the problem tyler's hardware store is having a contest to guess the the...
TRANSCRIPT
The Coin Jar Mystery
The Problem
Tyler's Hardware store is having a contest to guess the the number of coins in a jar. To be entered in a drawing for a free IPOD the entry must contain both the exact number of coins in the jar and the exact number of each type of coin. Mr. Tyler has provided several clues to help you guess the correct answer. Can you solve the mystery?
The Clues
•There are 23 more pennies than nickels.
= 23 +
The Clues
• There are 23 more pennies than nickels.• There are 3 times as many quarters as nickels.
= 3 x
The Clues•There are 23 more pennies than nickels.
•There are 3 times as many quarters as nickels.
•There are 1/3 fewer dimes than quarters.
= 2/3 x
The Clues
• There are 23 more pennies than nickels.
• There are 3 times as many quarters as nickels.
• There are 1/3 fewer dimes than quarters.
• There is $45.78 in the jar.
How Can I Solve?
Get in your quads and talk about what strategies you might use to solve this problem.
How Can I Solve?Possible Strategy
Create a TableQuarters Nickels Dimes Pennies
? ? ? ?
How Can I Solve?Possible Strategy
Create an Equation
y =3x + 7
How Can I Solve?Possible Strategy
Guess and Check
28? 50? 75?
15? 7?
Solve by Creating a Table
Create a table using Excel
Nick’s Batting Average
• Nick wants top keep track of his batting average and on base percentage throughout the season.
• So he created an Excel spreadsheet to handle the computations.
Nick’s Statistics
• 1/3 of the way through the season Nick has the following stats.
• 28 at bats
• 11 hits
• 7 walks
Nicks Batting Average
To Find Batting AverageFormula Bar =B6/A6
To Find On Base PercentageFormula Bar = (B6+C6)/A6
The Problem
Tyler's Hardware store is having a contest to guess the the number of coins in a jar. To be entered in a drawing for a free IPOD the entry must contain both the exact number of coins in the jar and the exact number of each type of coin. Mr. Tyler has provided several clues to help you guess the correct answer. Can you solve the mystery?
Review The Clues
• There are 23 more pennies than nickels.
• There are 3 times as many quarters as nickels.
• There are 1/3 fewer dimes than quarters.
• There is $45.78 in the jar.
Getting Started Set Up Columns
• Create a column for number of quarters.
• Create a column for value of quarters.
Getting Started Set Up Columns
• Create a column for number of quarters.
• Create a column for value of quarters.
• Create a column for number of dimes.
• Create a column for value of dimes.
Getting Started Set Up Columns
• Create a column for number of quarters.
• Create a column for value of quarters.
• Create a column for number of dimes.
• Create a column for value of dimes.
• Create a column for number of nickels.
• Create a column for value of nickels.
Getting Started Set Up Columns
• Create a column for number of quarters.• Create a column for value of quarters.• Create a column for number of dimes.• Create a column for value of dimes.• Create a column for number of nickels.• Create a column for value of nickels.• Create a column for number of pennies.• Create a column for value of pennies.
Final 2 Columns
• Create a column for total number of coins.
Final 2 Columns
• Create a column for total number of coins.
• Create a column for total value of coins.
Set Up Columns
Final StepsSet up Formulas
• To calculate value of quarters.
Final StepsSet up Formulas
• To calculate value of quarters.
• To calculate value of dimes.
Final StepsSet up Formulas
• to calculate value of quarters.
• to calculate value of dimes.
• to calculate value of nickels.
Final StepsSet up Formulas
• to calculate value of quarters.
• to calculate value of dimes.
• to calculate value of nickels.
• to calculate value of pennies.
Final StepsSet up Formulas
• to calculate value of quarters.
• to calculate value of dimes.
• to calculate value of nickels.
• to calculate value of pennies.
• to calculate total number of coins.
Final StepsSet up Formulas
• to calculate value of quarters.
• to calculate value of dimes.
• to calculate value of nickels.
• to calculate value of pennies.
• to calculate total number of coins.
• to calculate total value of coins.