To find the total weight of the luggage before reducing the weight by 12.2 pounds, we can set up the equation as follows:
Let \( W \) be the total weight of the luggage before reduction. According to the problem, we want to reduce this total weight by 12.2 lb. This gives us the equation:
\[ W - 12.2 = \text{total weight after reduction} \]
From the options provided, we need to solve for \( W \) by adding 12.2 lb. to each option to see which one results in a plausible total weight before reduction. We will check each option:
-
Option 1: 57.175 lb.
- \( W = 57.175 + 12.2 = 69.375 \) lb.
-
Option 2: 61.3 lb.
- \( W = 61.3 + 12.2 = 73.5 \) lb.
-
Option 3: 58.925 lb.
- \( W = 58.925 + 12.2 = 71.125 \) lb.
-
Option 4: 72.925 lb.
- \( W = 72.925 + 12.2 = 85.125 \) lb.
Since none of the options give us the resulting weight after reducing by 12.2 lb., we can check for the total weight values before reduction:
- For 57.175 lb., the total before reduction becomes 69.375 lb.
- For 61.3 lb., the total before reduction becomes 73.5 lb.
- For 58.925 lb., the total before reduction becomes 71.125 lb.
- For 72.925 lb., the total weight before reduction is clearly the highest, leading to 85.125 lb.
Thus, assuming you reduced the weight from the total options, the total weight before the reduction can be:
- From the options given in total weight after the reduction, if we consider that the total weight we want to reach could lead us to prefer the scenario with 72.925 lb. as it seems to suggest a heavier luggage that could lead to storage, hence total weight of 85.125 lb before the reduction.
So there we can confirm, with these calculations, the original total weight of luggage can thus be concluded as:
- 72.925 + 12.2 = 85.125 lb. Therefore, the total weight of the luggage before reduction is 72.925 lb.
1 answer