# Set up and solve a system of equations to answer the following.A person has five times as many pennies as dimes. If the total value of these coins is \$1.05, how many of each type of coin does this person have? pennies  dimes

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Set up and solve a system of equations to answer the following.

A person has five times as many pennies as dimes. If the total value of these coins is \$1.05, how many of each type of coin does this person have?

 pennies dimes
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Step 1

Let the number of dimes be x

The value of one dime is \$0.10 so, the total value of x dime will be: Step 2

The number of pennies is 5x

The value of one penny is \$0.01 so, the total value of 5x pennies will be: Step 3

The total dollar value is \$1.05. ...

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### Algebra 