SOLUTION: Five pens of the same type cost the same as two notebooks of the same type. If one pen and two notebooks cost $4.20, what is the cost of one pen?

Question 214819: Five pens of the same type cost the same as two notebooks of the same type. If one pen and two notebooks cost $4.20, what is the cost of one pen?
Found 2 solutions by stanbon, drj:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Five pens of the same type cost the same as two notebooks of the same type. If one pen and two notebooks cost $4.20, what is the cost of one pen?
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Value Equation:: 5p - 2n = 0
Value Equation:::: p + 2n = 420 cents
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Add the two equations to get:
6p = 420
p = 70 cents (cost of one pen)
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Cheers,
Stan H.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Five pens of the same type cost the same as two notebooks of the same type. If one pen and two notebooks cost $4.20, what is the cost of one pen?

Step 1. Let x be the cost of one pen. Let y be the cost of a notebook.

Step 2. Let 5x be the cost of 5 pens.

Step 3. Let 2y be the cost of 2 notebooks.

Step 4. Then, 5x=2y since the cost of 5 pens is the same as the cost of two notebooks.

Step 5. x+2y=4.20 as given by the problem statement

Step 6. Substitute 5x=2y of Step 4 into Step 5. Then

Divide by 6 on both sides of equation.

cost of one pen.

And cost of two pens

Also, cost of one pen and two notebooks

Step 7. ANSWER: Cost of one pen is $0.70

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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