Question

The Swiger family recycles about 15 pounds of waste a week. This is 2/3 of the total waste for the week. How many pounds of waste does the family produce each week?

Options:
Option 1: 10 pounds
Option 2: 15 pounds
Option 3: 20 pounds
Option 4: 30 pounds

Answer 1

The Swiger family produces 22.5 pounds of waste each week.

Step-by-step explanation:

To find out how much waste the Swiger family produces each week, we can use the information given.

We know that the amount they recycle is 2/3 of the total waste for the week, which is 15 pounds.

Let's assume the total waste produced each week is represented by 'W'. So, 2/3 of W is equal to 15 pounds.

Using a multiplication equation, we can solve for W: (2/3)W = 15 pounds.

To isolate W, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2: W = (15 pounds) * (3/2).

Performing the calculation: W = 22.5 pounds.

Therefore, the Swiger family produces 22.5 pounds of waste each week.