Solve for a
a=\frac{100}{2001}\approx 0.049975012
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1000a+0.5a=50
Add 0.5a to both sides.
1000.5a=50
Combine 1000a and 0.5a to get 1000.5a.
a=\frac{50}{1000.5}
Divide both sides by 1000.5.
a=\frac{500}{10005}
Expand \frac{50}{1000.5} by multiplying both numerator and the denominator by 10.
a=\frac{100}{2001}
Reduce the fraction \frac{500}{10005} to lowest terms by extracting and canceling out 5.
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