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After 28 years your sample halves, ie becomes 38 mg. In another 28 years it will have halved again to 19 mg, so your answer is 56 years

It may not seem important, but you should remember that your sample is not evaporating. The actual 76 mg sample will still have almost all of its mass after 56 years. But by that time only 19 mg of it will be strontium-90. The rest of the sample will still be there, but it will have become Zirconium-90 which is stable.

And thank your teacher for giving you an easy number to work with. The actual half-life is closer to 28.8 years.
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