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 $

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

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!

Congratulations

You have completed this problem!