coin problems students will use guess and check chart and algebra to solve coin word problems

Coin ProblemsCoin Problems

Students will use Guess and Check Chart and Algebra to solve

Coin Word Problems

Students will use Guess and Check Chart and Algebra to solve

Coin Word Problems

What are coins worth?What are coins worth?

A penny A nickel A dime A quarter

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

Setting Up A Guess & Check ChartSetting Up A Guess & Check Chart

Set up a column for each coin in problem

The last column should be for Total Amount of Money

Set up a column for each coin in problem

The last column should be for Total Amount of Money

Bill has four times as many quarters as dimes. He has $2.20 altogether. How many of each coin does he have?


Total (2.20)Q (4D)D (?)

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(.10) + 20(.25)

.50 + 5.00 = 5.50

205

Total (2.20)Q (4D)D (?)

The guess column



2(.10) + 8(.25)

.20 + 2.00 = 2.2082

3(.10) + 12(.25)

.30 + 3.00 = 3.30123

5(.10) + 20(.25)

.50 + 5.00 = 5.50205

Total (2.20)Q (4D)D (?)

We found the total!!!Bill has 2 dimes and 8 quarters



X(.10) + 4x(.25) = 2.204xX

2(.10) + 8(.25)

.20 + 2.00 = 2.2082

Total (2.20)Q (4D)D (?)

The guess column becomes x!

The Total Column becomes the equation!

To convert to Algebraic Equation:

Using Algebra to SolveUsing Algebra to Solve

STEPS Define variables Write an equation Solve equation Answer question !

STEPS Define variables Write an equation Solve equation Answer question !

x(.10) + 4x(.25) = 2.20

.10x + 1.00x = 2.20

1.10x = 2.20

x = 2



D (?) Q (4D) Total (2.20)

X 4x x(.10) + 4x(.25) = 2.20

The guess column becomes x!

The Total Column becomes the equation!

Let x = # dimes

Let 4x = # quarters

Answer:

Bill has 2 dimes and 8 quarters.

Hint: Keep 2 decimal places so your numbers look like money

Paul has twice as many dimes as pennies and 3 times as many nickels as pennies. He has $1.80. How many of each type of coin?

Paul has twice as many dimes as pennies and 3 times as many nickels as pennies. He has $1.80. How many of each type of coin? Set up chart !!! Set up chart !!!

Total (1.80)D (2P)N (3P)P (?)

Start Guessing!

If we know how many pennies, we can figure nickels & dimes!



4(.01) + 12(.05)+8(.10)

.04+.60+.80=1.448124

2(.01) + 6(.05) +4(.10)

.02+.30+.40=.72462

5(.01) + 15(.05) + 10(.10)

.05+.75+1.00=1.8010155

Total (1.80)D (2P)N (3P)P (?)

Paul had 5 pennies, 15 nickels, and 10 dimes.



X(.01)+3x(.05)+2x(.10)=1.802x3xX

5(.01) + 15(.05) + 10(.10)

.05+.75+1.00=1.8010155

Total (1.80)D (2P)N (3P)P (?)

Let x = #pennies

Let 3x=#nickels

Let 2x=#dimes

X(.01)+3x(.05)+2x(.10) = 1.80

.01x+.15x+.20x=1.80

.36x=1.80

X=5

Paul had 5 pennies, 15 nickels and 10 dimes.

Wrapping It Up-Coin ProblemsWrapping 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?

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!!!!!!

All coins and Total Amount

The guess column

Answer the question!!!!!!

coin problems students will use guess and check chart and algebra to solve coin word problems

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