1. ## Finance

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?

2. Originally Posted by symmetry
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?
Let R be what Rita receives, then Miguel gets M, and:

R+M=10000,
R-M=2000.

Now add these equations, to get:

(R+M)+(R-M)=12000

or 2R=12000

so R=6000, and M=4000.

RonL

3. Originally Posted by symmetry
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?
$\displaystyle M$ 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: $\displaystyle \boxed{R=6000}$

4. ## ok

Thank you for breaking the question into pieces of great information.