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?

Question

Mathematics

Lynn

3 June, 08:44

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?

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Answers (1)

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Mya Stanton · Answer 1

12000

Step-by-step 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