total of $10,000 is to be divided between sean and george, george will receive $3000 less than sean. how much will each get?
thank you in advance
Put the words into math. You are told that:
s+g = 10000
g = s-3000
Now just solve for s and g.
To divide the $10,000 between Sean and George, we'll first need to determine the amount George will receive compared to Sean.
Let's assume Sean receives x amount of money.
According to the given information, George will receive $3000 less than Sean. So, George will receive x - $3000.
Since the total amount is $10,000, we can write the equation as:
x + (x - $3000) = $10,000
Now we can solve this equation to find the values of x and x - $3000.
Combining like terms, we have:
2x - $3000 = $10,000
Adding $3000 to both sides, we get:
2x = $13,000
Dividing both sides by 2, we find:
x = $6,500
So, Sean will receive $6,500 and George will receive $6,500 - $3000 = $3,500.
To determine how much each person will get, let's assign variables to the amounts received by Sean and George.
Let's say Sean receives x dollars.
According to the given information, George will receive $3000 less than Sean, so George will receive (x - $3000) dollars.
We know that the total amount to be divided is $10,000. Therefore, the sum of Sean and George's amounts should be $10,000:
x + (x - $3000) = $10,000
Simplifying the equation:
2x - $3000 = $10,000
Adding $3000 to both sides:
2x = $10,000 + $3000
2x = $13,000
Dividing both sides by 2:
x = $13,000 / 2
x = $6500
So Sean will receive $6500, and George will receive $6500 - $3000 = $3500.
Therefore, Sean will receive $6500 and George will receive $3500.