A box with 40 stuffed animals in it weighs 350 ounces. The same box with 30 stuffed animals weighs 290 ounces. How much does the box itself weigh?
so, 10 animals weigh 60 oz.
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To calculate the weight of the box itself, you need to find the difference in weight between the two scenarios: when it contains 40 stuffed animals and when it contains 30 stuffed animals.
First, calculate the weight of the stuffed animals:
Weight of 40 stuffed animals = 350 ounces
Weight of 30 stuffed animals = 290 ounces
The weight of the stuffed animals is:
350 ounces - 290 ounces = 60 ounces.
Now, since the difference in weight is solely due to the stuffed animals, we subtract this weight from the scenario where the box has 30 stuffed animals:
Weight of the box itself = Weight of scenario where box has 30 stuffed animals - Weight of stuffed animals
Weight of the box itself = 290 ounces - 60 ounces
Weight of the box itself = 230 ounces.
Therefore, the box itself weighs 230 ounces.
To find the weight of the box itself, we need to subtract the weight of the stuffed animals from the total weight of the box.
Let's first calculate the weight of the stuffed animals:
The difference in weight between the two cases is 350 - 290 = 60 ounces.
The difference in the number of stuffed animals is 40 - 30 = 10.
So, the weight of each stuffed animal can be calculated by dividing the weight difference by the number of stuffed animals: 60 / 10 = 6 ounces.
Now, let's find the weight of the box itself:
In the first case, the box with 40 stuffed animals weighs 350 ounces.
So, the weight of the box alone can be calculated by subtracting the weight of the stuffed animals from the total weight: 350 - (40 * 6) = 350 - 240 = 110 ounces.
Therefore, the weight of the box itself is 110 ounces.