SOLUTION: A file cost $1.20 more than a notebook. A pen cost twice as much as the file. Te total cost of the three items was $11.60. What was the cost of the file?

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Question 1144252: A file cost $1.20 more than a notebook. A pen cost twice as much as the file. Te total cost of the three items was $11.60. What was the cost of the file?
Found 2 solutions by Theo, MathTherapy:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
let f = cost of file, n = cost of notebook, p = cost of pen.

f = n + 1.20
p = 2 * f
f + n + p = 11.60

solve for n to get:
n = f - 1.20

you have:

n = f - 1.2
p = 2 * f

in the equation of f + n + p = 11.60, replace n with f - 1.2 and replace p with 2 * f to get:

f + p + n = 11.60 becomes:
f + 2 * f + f - 1.2 = 11.60
combine like terms to get:
4 * f - 1.2 = 11.60
add 1.2 to both sides of the equation to get:
4 * f = 11.60 + 1.2
combine like terms to get:
4 * f = 12.80
solve for f to get:
f = 12.40 / 4 = 3.2

since n = f - 1.2, then n = 2
since p = 2 * f, then p = 6.4

you have:
f = 3.2, n = 2, p = 6.4

f + p + n becomes 3.2 + 6.4 + 2 = 11.60.
this confirms the solution is correct.

your solution is that the cost of the file is equal to $3.20.



Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
A file cost $1.20 more than a notebook. A pen cost twice as much as the file. Te total cost of the three items was $11.60. What was the cost of the file?
It's best to try to solve these word/story problems with ease, and in as little time as possible. Time is of the essence, especially when doing an exam, quiz, etc.

Let the cost of the FILE be F

Then the notebook costs F - 1.2, and the pen costs 2F

With total cost being $11.60, we get: F + F - 1.2 + 2F = 11.6

                                      4F = 12.8

                                      Cost of a file, or 

Now, was that SIMPLE, or what? 

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