1. Coin Problems
Students will use Guess and Check Chart and Algebra to solve Coin Word Problems

2. What are coins worth? A penny A nickel A dime A quarter .01 .05 .10
.25
What are 5 pennies worth?
What are 7 nickels worth?
What are 8 dimes worth?
What are 9 quarters worth?
5(.01) = .05
7(.05) = .35
8(.10) = .80
9(.25) = 2.25

3. Setting Up A Guess & Check Chart
Set up a column for each coin in problem
The last column should be for Total Amount of Money

4. Bill has four times as many quarters as dimes. He has $2.20 altogether. How many of each coin does he have?
D (?)
Q (4D)
Total (2.20)
Key Phrase: Four times as many quarters as dimes
This tells us that if we know: how many dimes
We can figure out: how many quarters
So our guess column will be the Dime column

5. Bill has four times as many quarters as dimes. He has $2.20 altogether. How many of each coin does he have?
The guess column
D (?)
Q (4D)
Total (2.20) 5 20
5(.10) + 20(.25)
= 5.50

6. Bill has four times as many quarters as dimes. He has $2.20 altogether. How many of each coin does he have?
D (?)
Q (4D)
Total (2.20) 5 20
5(.10) + 20(.25)
= 5.50 3 12
3(.10) + 12(.25)
= 3.30 2 8
2(.10) + 8(.25)
= 2.20
Bill has 2 dimes and 8 quarters
We found the total!!!

7. Bill has four times as many quarters as dimes. He has $2.20 altogether. How many of each coin does he have?
To convert to Algebraic Equation:
The guess column becomes x!
D (?)
Q (4D)
Total (2.20) 2 8
2(.10) + 8(.25)
= 2.20 X 4x
X(.10) + 4x(.25) = 2.20
The Total Column becomes the equation!

8. Using Algebra to Solve STEPS Define variables Write an equation
Solve equation
Answer question !

9. Bill has four times as many quarters as dimes. He has $2.20 altogether. How many of each coin does he have?
The guess column becomes x!
D (?)
Q (4D)
Total (2.20) X 4x
x(.10) + 4x(.25) = 2.20
The Total Column becomes the equation!
x(.10) + 4x(.25) = 2.20
.10x x = 2.20
1.10x = 2.20
x = 2
Answer:
Bill has 2 dimes and 8 quarters.
Let x = # dimes
Let 4x = # quarters
Hint: Keep 2 decimal places so your numbers look like money

10. Paul has twice as many dimes as pennies and 3 times as many nickels as pennies. He has $ How many of each type of coin?
Set up chart !!!
If we know how many pennies, we can figure nickels & dimes!
Start Guessing!
P (?)
N (3P)
D (2P)
Total (1.80)

11. Paul has twice as many dimes as pennies and 3 times as many nickels as pennies. He has $ How many of each type of coin?
P (?)
N (3P)
D (2P)
Total (1.80) 2 6 4
2(.01) + 6(.05) +4(.10)
=.72 4 12 8
4(.01) + 12(.05)+8(.10)
=1.44 5 15 10
5(.01) + 15(.05) + 10(.10)
=1.80
Paul had 5 pennies, 15 nickels, and 10 dimes.

12. Paul has twice as many dimes as pennies and 3 times as many nickels as pennies. He has $ How many of each type of coin?
P (?)
N (3P)
D (2P)
Total (1.80) 5 15 10
5(.01) + 15(.05) + 10(.10)
=1.80 X 3x 2x
X(.01)+3x(.05)+2x(.10)=1.80
X(.01)+3x(.05)+2x(.10) = 1.80
.01x+.15x+.20x=1.80
.36x=1.80
X=5
Let x = #pennies
Let 3x=#nickels
Let 2x=#dimes
Paul had 5 pennies, 15 nickels and 10 dimes.

13. Wrapping It Up-Coin Problems
How do you label your Guess & Check chart?
How do you decide which column is x?
What is the most important thing you will do when solving a word problem?
All coins and Total Amount
The guess column
Answer the question!!!!!!