Whats wrong with this calculation?

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Homework Help Overview

The discussion revolves around evaluating a single variable equation involving a fraction, specifically the equation (10 + x)/(40 + x) * 100 = 60. Participants are examining the calculations and reasoning behind the results obtained.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to solve the equation in two different ways, leading to different results. Some participants question the arithmetic performed in the first attempt, particularly the subtraction involved in the calculation.

Discussion Status

The discussion is ongoing, with participants providing feedback on the calculations. There is a focus on identifying errors in the arithmetic rather than reaching a definitive conclusion about the problem.

Contextual Notes

Participants are addressing potential mistakes in the calculations, specifically regarding the interpretation of the equation and the arithmetic operations performed. There is an acknowledgment of the original poster's confusion regarding the results.

zak100
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Homework Statement


Problem in evaluating a single variable equation

Homework Equations


(10 + x)/ (40+x) * 100 = 60

The Attempt at a Solution


(1)[/B]
(10 + x)/ (40+x) * 100 = 60
1000 + 100x = 2400 + 60x
100x -60 x = 2400-1000
40x = 2300
x= fractional value
(2)
However if i solve it using:
(10 + x) /(40 +x) = 60/100
(10 + x)/(40 + x) = 3/5
50 + 5x = 120 + 3x
2x= 70
x = 35 (integer value)
Some body please guide me what's wrong in my first calculation i.e. (1).

Zulfi.
 
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What was 2400-1000 again?
 
zak100 said:

Homework Statement


Problem in evaluating a single variable equation

Homework Equations


(10 + x)/ (40+x) * 100 = 60

The Attempt at a Solution


(1)[/B]
(10 + x)/ (40+x) * 100 = 60
1000 + 100x = 2400 + 60x
100x -60 x = 2400-1000
40x = 2300
2400 - 1000 is not equal to 2300.
zak100 said:
x= fractional value
(2)
However if i solve it using:
(10 + x) /(40 +x) = 60/100
(10 + x)/(40 + x) = 3/5
50 + 5x = 120 + 3x
2x= 70
x = 35 (integer value)
Some body please guide me what's wrong in my first calculation i.e. (1).

Zulfi.
 
Hi,
Thanks for solving this burden.

Zulfi.
 

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