System of Equations Word Problem - Coins

System of Equations Word Problem - Coins

Using what we know about money!

A coin collector has 31 dimes and nickels with a total value of $2.40. How many of each coin do they have?

[Get ready for some guided questions!]

Multiple Choice

What is this problem asking you to find?

• The value of each coin

• The amount of each coin

• The amount of money in the piggy bank

• Purple

Multiple Choice

Your let statements could be...

• Let x = total $ in dimes

  y = total $ in nickels

• Let x = value of a dime

  y = value of a nickel

• Let x = # of dimes

  y = # of nickels

• Let x = # of coins

  y = amount of $

Fill in the Blank

Now that you have your let statements, how many equations do you need to write based on this problem?

Fill in the Blank

Based on this statement:

"A coin collector has 31 dimes and nickels"

What equation should you write?

Multiple Choice

What is the numerical value associated with a dime?

• $0.01

• $0.05

• $0.10

• $0.25

• $0.50

Multiple Choice

What is the numerical value associated with a nickel?

• $0.01

• $0.05

• $0.10

• $0.25

• $0.50

Fill in the Blank

Based on this statement:

"dimes and nickels with a total value of $2.40"

What equation should you write?

Recap

• A coin collector has 31 dimes and nickels with a total value of $2.40. How many of each coin do they have?ev

• Let x = # dimes, y = # nickels

• x + y = 31

• .10x + .05y = 2.40

• *TIP: You can multiply everything in the last equation by 100 to change the equation to 10x + 5y = 240 if you prefer!

Poll

You could solve algebraically by either method listed below.

Which do you think you would use?

• Substitution

• Elimination

Now please solve the system of equations in your notebook, don't go to the next slide until you are done!

Fill in the Blank

How many dimes does the collector have?

Fill in the Blank

How many nickels does the collector have?

Congratulations

You have completed this problem!