a basket of with 12 apples has a mass of 3105 grams. the same basket with 7 apples has a mass of 1,980 grams. each apple has the same mass. what is the mass of the basket?

each apple has a mass of (3105-1980)/5

figure that out, then
mass=number*eachapplemass + basket
so let the number of apples 7
then
1980=7*eachapplemass+basket.
solve for basket

To find the mass of the basket, we need to first determine the mass of a single apple.

Let's assume the mass of each apple is "x" grams.

We are given that a basket with 12 apples has a mass of 3105 grams. Therefore, the total mass of the apples in the first basket is 12x grams.

Similarly, the second basket with 7 apples has a mass of 1980 grams. Here, the total mass of the apples in the second basket is 7x grams.

We can set up two equations to represent these situations:

Equation 1: 12x = 3105
Equation 2: 7x = 1980

Now, we can solve these equations to find the value of "x" which represents the mass of a single apple.

Solving Equation 1:
12x = 3105
Dividing both sides by 12, we get:
x = 3105 / 12
x ≈ 258.75 grams

Now that we have the mass of a single apple, we can find the mass of the basket by subtracting the total mass of the apples from the total mass of the basket in either case.

In the first basket with 12 apples, the mass of the basket would be:
3105 grams - (12 apples * 258.75 grams/apple) = 3105 grams - 3105 grams = 0 grams

In the second basket with 7 apples, the mass of the basket would be:
1980 grams - (7 apples * 258.75 grams/apple) = 1980 grams - 1811.25 grams = 168.75 grams

Therefore, the mass of the basket is approximately 168.75 grams.