The mass of a bag of sand was 2.95 kilograms when it was 2/3 full. When 1/6 of the sand was removed, the mass of the bag of sand became 2.325 kilograms. Find the mass of the empty bag in kilogrmas.
Help!
I would say that the answer wouldn't be 0. It is asking for the mass of THE BAG. Since the bag is empty it doesn't weight nothing. You have to figure out how much THE BAG weights itself. The wording is slightly weird.
Yes, I would distribute the problem the same way. You are finding out how much the bag ways.
its finding how much of the bag is empty
The problem is wrong because it gives negative value. It should be 1/4 instead of 1/6
To solve this problem, we need to set up an equation based on the given information and then solve for the unknown, which is the mass of the empty bag.
Let's break down the information given:
1. The mass of the bag of sand was 2.95 kilograms when it was 2/3 full.
2. When 1/6 of the sand was removed, the mass became 2.325 kilograms.
Let's represent the mass of the empty bag as "x" (in kilograms).
We can then set up the equation:
2.95 - (2/3) * 2.95 - (1/6) * 2.95 = x
Now, let's solve the equation step by step:
Step 1: Calculate the mass of the bag when it was 2/3 full.
(2/3) * 2.95 = 1.97
Step 2: Calculate the mass of the bag after removing 1/6 of the sand.
(1/6) * 2.95 = 0.4925
Step 3: Subtract the calculated masses from the initial mass to find the mass of the empty bag.
2.95 - 1.97 - 0.4925 = x
x = 0.4875 (approximately)
Therefore, the mass of the empty bag is approximately 0.4875 kilograms.