109k views
3 votes
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?​

User Irobot
by
8.0k points

2 Answers

3 votes

Answer:

$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

User Hyperlogic
by
8.2k points
2 votes

Answer:

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

User GIPSSTAR
by
7.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.