Question

PLEASE HELP!!!

After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?

A) 1/2 x = 36+5
B) 1/2 (x-5) = 36
C) 1/2 (x+5) = 36
D) 1/2 x+5 = 36

Give details please!

Answer 1

Hi There!

Answer:

C) 1/2 (x+5) = 36

Explanation:

Multiply 2 too both sides:

1/2 * 2 (x + 5) = 36 * 2

(x + 5) = 72

Subtract 5 too both sides:

x + 5 - 5 = 72 - 5

Simplify:

x = 67

Hope This Helps :)

Answer 2

C) 1/2 (x+5) = 36

George started with 70 rocks

Explanation:

Given: After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks.

Let "x" be number of rocks that George started with.

After getting 5 new rocks.

He will have (x + 5) rocks.

George gave half of his rock collection to Susan.

(x + 5) /2 has given to Susan which is 36

Which can be written as

`(x + 5)/(2) = 36`

This can be rewritten as:

`(1)/(2) (x + 5) = 36`

The answer is C)
`(1)/(2)(x + 5) = 36`

To find the number of rocks George started with, we need to solve the above equation.

Multiply by both sides by 2, we get

(x + 2) = 2(36)

x + 2 = 72

Subtracting 2 from both sides, we get

x + 2 - 2 = 72 - 2

x = 70

So, George started with 70 rocks