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**Oculus8596****Banned**- From: Great Lakes,Illinois
- Registered: 2024-09-18
- Posts: 126

A total of $10,000 is to be divided between Sean and George, with George to receive $3000 less than Sean. How much did each receive?

Solution:

Sean will receive x amount.

George will receive x - 3000 amount.

My equation set up is

x + x - 3000 = 10,000

Is this correct?

The best things in life are not always free.

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 10,583

Yes.

With a question like that you could have solved your equation and checked if your answer fitted the facts.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**Oculus8596****Banned**- From: Great Lakes,Illinois
- Registered: 2024-09-18
- Posts: 126

Bob wrote:

Yes.

With a question like that you could have solved your equation and checked if your answer fitted the facts.

Bob

Let's see if the answer fits the facts, if you stated.

My equation set up is

x + x - 3,000 = 10,000

2x - 3,000 = 10,000

2x = 10,000 - 3,000

2x = 7,000

x = 7,000 ÷ 2

x = 3,500.

Sean make $3,500.

George makes $3,000 less than Sean or $500.

The best things in life are not always free.

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 10,583

But that doesn't add up to 10 000.

Try 2x - 3000 = 10000 implies 2x = 13000

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**Oculus8596****Banned**- From: Great Lakes,Illinois
- Registered: 2024-09-18
- Posts: 126

Bob wrote:

But that doesn't add up to 10 000.

Try 2x - 3000 = 10000 implies 2x = 13000

Bob

I subtracted 3,000 when I should have added.

x + x - 3,000 = 10,000

2x - 3,000 = 10,000

2x = 10,000 + 3,000

2x = 13,000

x = 13,000 ÷ 2

x = 6,500

Sean makes $6,500 and George makes $3,500.

Let me check:

$6,500 + $3,500 = $10,000

Yep, it works now. It was a typo at my end.

The best things in life are not always free.

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 10,583

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**Oculus8596****Banned**- From: Great Lakes,Illinois
- Registered: 2024-09-18
- Posts: 126

Bob wrote:

Bob

Like I said, it was a simple sign error that, as you know, can alter the final answer.

The best things in life are not always free.

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