Final answer:
The number of particles received in a 3 mCi dose is found by calculating the ratio of the dose received to the total dose, and then multiplying the average number of particles in the kit by this ratio. The calculated number of particles is 54,000.
Step-by-step explanation:
To determine the number of particles a patient will receive in a 3 mCi dose, we shall calculate the ratio of the dose received to the total dose prepared and then apply that ratio to the average number of particles in the kit.
The total dose prepared is 50 mCi, and the dose received is 3 mCi. Therefore, the ratio of the dose received to the total dose is 3 mCi / 50 mCi = 0.06 (or 6%).
The MAA kit has an average of 900,000 particles. Applying the ratio we calculated, we find the number of particles in the 3 mCi dose:
900,000 particles * 0.06 = 54,000 particles
Since none of the provided answer choices match this calculation, it's possible that there may have been a misinterpretation of the data or a typo in the question. The calculated number of particles that will be received in a 3 mCi dose is 54,000.