Final answer:
To find the original weight of the package that results in 10 pounds when multiplied by 2/3, divide 10 pounds by 2/3 or multiply by the reciprocal (3/2), which gives 15 pounds (option A).
Step-by-step explanation:
The question asks for the original weight of a package given that when this weight is multiplied by 2/3, the result is 10 pounds. To find the weight of the package, we need to reverse the multiplication by dividing the given weight (10 pounds) by 2/3. The calculation is as follows:
Original weight = 10 pounds ÷ (2/3)
This can be thought of as multiplying by the reciprocal of 2/3, which is 3/2, so:
Original weight = 10 pounds × (3/2)
Original weight = 15 pounds
Therefore, the weight of the package is 15 pounds, which corresponds to option A.