The cost of the file is $6.15 and the cost of the pen is $8.9
<h3>Solving word problems with systems of linear equations.</h3>
The interpretation of the given word problem leads to a system of linear equations.
From the given information:
- Let the file be denoted with f and the pen be denoted with p
f + 3p = 32.85 --- (1)
2f + 8p = 83.5 --- (2)
From equation (1)
f = - 3p+32.85
Replace the value of f in the above equation into equation (2)
2(-3p + 32.85) + 8p = 83.5
2p + 65.7 = 83.5
2p = 83.5 -65.7
2p = 17.8
p = 17.8/2
p = 8.9
Replacing the value of p = 8.9 into f = - 3p+32.85
f = -3(8.9)+32.85
f = 6.15
Therefore, we can conclude that the cost of the file is $6.15 and the cost of the pen is $8.9.
Learn more about solving a system of linear equations here:
brainly.com/question/13729904
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