Question

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?

Answer 1

1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with

Explanation:

Answer 2

Let

x--------> amount of starting rocks George had

we know that

`(1)/(2)(x+5)=36` ------> equation that could be used to determine how many rocks George started with

Solve for x

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

Multiply by
`2` both sides

`(x+5)=72`

Subtract
`5` both sides

`(x+5)-5=72-5`

`x=67\ rocks`

therefore

the answer Part a) is

The equation that could be used to determine how many rocks George started with is
`(1)/(2)(x+5)=36`

the answer Part b) is

`67\ rocks`