To solve this equation:
First, convert 2 1/2 to an improper fraction:2 1/2 = 5/2
Now, rewrite the equation with the improper fraction:20/(x+20) + 20/(20-x) + 25/60 = 5/2
Next, find a common denominator for the fractions on the left side of the equation:The common denominator is 60.
Rewrite the equation with the common denominator:(6020)/(60(x+20)) + (6020)/(60(20-x)) + 25/60 = 5/21200/60(x+20) + 1200/60(20-x) + 25/60 = 5/2
Now, simplify the equation by multiplying out the numerators:20(x+20) + 20(20-x) + 25 = 1500
Expand the terms:20x + 400 + 400 - 20x + 25 = 1500
Combine like terms:825 = 1500
This is not a true statement, so there is no solution to the equation.
Therefore, the solution to the original equation is no solution.
To solve this equation:
First, convert 2 1/2 to an improper fraction:
2 1/2 = 5/2
Now, rewrite the equation with the improper fraction:
20/(x+20) + 20/(20-x) + 25/60 = 5/2
Next, find a common denominator for the fractions on the left side of the equation:
The common denominator is 60.
Rewrite the equation with the common denominator:
(6020)/(60(x+20)) + (6020)/(60(20-x)) + 25/60 = 5/2
1200/60(x+20) + 1200/60(20-x) + 25/60 = 5/2
Now, simplify the equation by multiplying out the numerators:
20(x+20) + 20(20-x) + 25 = 1500
Expand the terms:
20x + 400 + 400 - 20x + 25 = 1500
Combine like terms:
825 = 1500
This is not a true statement, so there is no solution to the equation.
Therefore, the solution to the original equation is no solution.