The number of apples in an apple tree after subtracting by 6, multiplying by 6, dividing by 6, in that calculating order, equals 6. How many apples are on the tree?

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Please help me with another :(
There is a box of books. Alex takes one more than half the number of the books. Bob takes 2 more than half of the remaining books in the box; Carrie takes 3 more than half of the remaining books in the box. There are still 3 books left in the box. How many books were there in the beginning?

Just read the words and write as symbols.

The number of apples in an apple tree
n
after subtracting by 6,
n-6
multiplying by 6,
(n-6)*6
dividing by 6,
(n-6)*6/6
equals 6.
(n-6)*6/6 = 6
n-6 = 6
n = 12

books = x
a = x/2 + 1
b = (x-a)/2 + 2
c = (x-a-b)/2 + 3
x-a-b-c = 3
make all the right substitutions, and you wind up with
x = 58
a = 30
b = 16
c = 9

Sorry, I don't understand it.

I'm really gonna need help :(

To solve the equation for the number of apples in the apple tree, we need to work backwards through the operations. Let's call the initial number of apples in the tree "x".

1. Subtracting by 6: x - 6
2. Multiplying by 6: (x - 6) * 6
3. Dividing by 6: ((x - 6) * 6) / 6

According to the problem, this expression equals 6:

((x - 6) * 6) / 6 = 6

To solve for x, we can simplify the equation:

((x - 6) * 6) = 6 * 6
(x - 6) * 6 = 36
x - 6 = 36 / 6
x - 6 = 6
x = 6 + 6
x = 12

Therefore, there are 12 apples on the tree.

Now, let's move on to the next question.

To find out the initial number of books in the box, we'll work backward through the steps. Let's call the initial number of books "x".

1. Alex takes one more than half the number of the books: (1/2)x + 1
2. Bob takes 2 more than half of the remaining books: (1/2)(x - (1/2)x - 1) + 2
3. Carrie takes 3 more than half of the remaining books: (1/2)(x - (1/2)(x - (1/2)x - 1) - 1) + 3

According to the problem, there are still 3 books left, so we can set up the equation:

(1/2)(x - (1/2)(x - (1/2)x - 1) - 1) + 3 = 3

To solve for x, we can simplify the equation:

(1/2)((x - (1/2)(x - (1/2)x - 1) - 1) + 3) = 3
(x - (1/2)(x - (1/2)x - 1) - 1) + 3 = 3 * 2
(x - (1/2)(x - (1/2)x - 1) - 1) + 3 = 6
(x - (1/2)(x - (1/4)x - 1/2) - 1) + 3 = 6

Now, let's simplify further the expression inside the parentheses:

(x - (1/2)(x - (1/4)x - 1/2) - 1) + 3 = 6
(x - (1/2)((4/4)x - (1/4)x - 1/2) - 1) + 3 = 6
(x - (1/2)((3/4)x - 1/2) - 1) + 3 = 6
(x - (3/8)x + 1/4 - 1) + 3 = 6
(x - (3/8)x - 3/4) + 3 = 6

Now, let's combine like terms:

(x - (3/8)x - 3/4) + 3 = 6
(8/8)x - (3/8)x - 3/4 + 3 = 6
(5/8)x - 3/4 + 3 = 6
(5/8)x - 3/4 + 12/4 = 6
(5/8)x + 9/4 = 6

Now, let's further simplify:

(5/8)x + 9/4 = 6
(5/8)x = 6 - 9/4
(5/8)x = 24/4 - 9/4
(5/8)x = 15/4

To solve for x, we can multiply both sides by the reciprocal of (5/8), which is (8/5):

(5/8)x * (8/5) = (15/4) * (8/5)
x = 120/20
x = 6

Therefore, there were 6 books in the beginning.