Respuesta :

Answer:

4) 12

Step-by-step explanation:

Let's assume the weight of the package is represented by the variable "w."

w · [tex]\frac{5}{6}[/tex] = 10

Multiply both sides by [tex]\frac{6}{5}[/tex].

w = 12

So, the answer is 4) 12.

Final answer:

The original weight of the package is found by dividing 10 lbs by 5/6, which results in 12 lbs. This is done by multiplying 10 lbs by the reciprocal of 5/6.

Explanation:

The question is about solving an equation where the result is already given. We have been told that if the weight of a package is multiplied by 5/6, the result is 10 lbs. To find the original weight of the package, we need to divide the result by the fraction.

To solve this, the equation is as follows:

  1. Let the original weight of the package be x pounds.
  2. The equation based on the given information is (5/6) * x = 10 lbs.
  3. To find x, we divide 10 lbs by 5/6 which is the same as multiplying by the reciprocal of 5/6, which is 6/5.
  4. So, x = 10 * (6/5) = 12 lbs.

Therefore, the weight of the package is 12 lbs.