Question
Asked Feb 7, 2020
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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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Expert Answer

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:

 

Algebra homework question answer, step 1, image 1

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:

 

Algebra homework question answer, step 2, image 1

Step 3

The total dollar value is $1.05.

 

Algebra homework question answer, step 3, image 1

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Tagged in

Math

Algebra