Question

Sanjeet paid $32.85 for 1 file and 3 identical pens. Leon paid $83.50 for 2 files and 8 identical pens. Find the cost of one such pen

Answer 1

The cost of the file is $6.15 and the cost of the pen is $8.9

Solving word problems with systems of linear equations.

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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