A total of 10,000 is to be divided up between Rita and Miguel, with Miguel to receive 2000 dollar less than Rita. How much will each receive?

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- Jan 12th 2007, 01:10 PMsymmetryFinance
A total of 10,000 is to be divided up between Rita and Miguel, with Miguel to receive 2000 dollar less than Rita. How much will each receive?

- Jan 12th 2007, 01:21 PMCaptainBlack
- Jan 12th 2007, 01:25 PMQuick
$\displaystyle M$ stands for the amount miguel gets.

$\displaystyle R$ stands for the amount rita gets.

You know that: $\displaystyle M+R=10000$

You also know that: $\displaystyle M=R-2000$

Substitute: $\displaystyle (R-2000)+R=10000$

Then: $\displaystyle 2R-2000=10000$

So: $\displaystyle 2R=12000$

Finally: $\displaystyle \boxed{R=6000}$ - Jan 12th 2007, 04:19 PMsymmetryok
Thank you for breaking the question into pieces of great information.