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:
- Let the original weight of the package be x pounds.
- The equation based on the given information is (5/6) * x = 10 lbs.
- 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.
- So, x = 10 * (6/5) = 12 lbs.
Therefore, the weight of the package is 12 lbs.