Solve for a 100=(12.5(a+1))/24

Math
100=12.5(a+1)24
Rewrite the equation as 12.5(a+1)24=100.
12.5(a+1)24=100
Multiply both sides of the equation by 2412.5.
2412.5⋅12.5(a+1)24=2412.5⋅100
Simplify both sides of the equation.
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Simplify 2412.5⋅12.5(a+1)24.
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Cancel the common factor of 24.
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Cancel the common factor.
2412.5⋅12.5(a+1)24=2412.5⋅100
Rewrite the expression.
112.5⋅(12.5(a+1))=2412.5⋅100
112.5⋅(12.5(a+1))=2412.5⋅100
Cancel the common factor of 12.5.
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Cancel the common factor.
112.5⋅(12.5(a+1))=2412.5⋅100
Rewrite the expression.
a+1=2412.5⋅100
a+1=2412.5⋅100
a+1=2412.5⋅100
Simplify 2412.5⋅100.
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Cancel the common factor of 100.
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Factor 100 out of 12.5.
a+1=24100(0.125)⋅100
Cancel the common factor.
a+1=24100⋅0.125⋅100
Rewrite the expression.
a+1=240.125
a+1=240.125
Divide 24 by 0.125.
a+1=192
a+1=192
a+1=192
Move all terms not containing a to the right side of the equation.
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Subtract 1 from both sides of the equation.
a=192-1
Subtract 1 from 192.
a=191
a=191
Solve for a 100=(12.5(a+1))/24

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