SOLUTION: $3000 are divided between two sons so that the elder son receives $200 more than two-thirds the share of the younger son. How much does each receives?
Please help!!!!! Thank you
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Question 189683: $3000 are divided between two sons so that the elder son receives $200 more than two-thirds the share of the younger son. How much does each receives?
Please help!!!!! Thank you for saving my life!!:):):)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let
x=amount of money that the elder son receives and
y=amount of money that the younger son receives
Because $3000 is being split among the two, this means that (ie if you add their shares together, you will get $3000)
Also, since "$3000 are divided between two sons so that the elder son receives $200 more than two-thirds the share of the younger son", this tells us that
Start with the first equation.
Plug in
Multiply EVERY term by the LCD to clear the fractions.
Multiply.
Combine like terms on the left side.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
So this means that the younger son received $1,680
------------------------------
Go back to the second equation
Plug in
Multiply
Reduce
Combine like terms.
So the elder son received $1,320
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