A solution contains a mixture of isotopes of ( ) and ( )

CHEMISTRY · Multi-part · AoPS · Mathematics · Exponents and Logarithms · Multi-Variable Linear Equations

Problem

A solution contains a mixture of isotopes of

X^{A1}

(

t_{1/2} = 14 \text{ days}

) and

X^{A2}

(

t_{1/2} = 25 \text{ days}

). Total activity is 1 curie at

t = 0

. The activity reduces by 50% in 20 days. Find: (1) the initial activities of

X^{A1}

and

X^{A2}

. (2) the ratio of their initial no. of nuclei.

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