Question

Old man Jenkins left 1/2 of his money to his grandkids and 1/2 of that amount to his kids. He left 1/6 to his wife and the remaining $1000 to his tiger. How much did he leave altogether?​

Answer 1

$12,000

Explanation:

Let total be X

X - ½X = remaining after giving to grand kids

½(X/2) = ¼X remaining after giving to children

¼X - ⅙X = (3X - 2X)/12 = X/12 after giving to wife

X/12 = 1000

X = 12,000

Answer 2

12000

Explanation:

Jenkins had x dollars

He left 1/2 of that to his grandkids

He has x-1/2x = 1/x

He leaves 1/2 of that to his kids

1/2*1/2 x = 1/4x to his kids

His wife gets 1/6x

The rest is 1000

The total is

grand kids + kids + wife + 1000

1/2 x + 1/4x + 1/6x + 1000

He started with x

1/2 x + 1/4x + 1/6x + 1000 =x

Multiply each side by 12 to get rid of the fractions

12(1/2 x + 1/4x + 1/6x + 1000) =x*12

6x+3x +2x +12000= 12x

Combine like terms

11x +12000 = 12x

Subtract 11x from each side

11x-11x +12000 = 12x-11x

12000=x

Since he started with x, he left 12000 dollars