# Finance

• Jan 12th 2007, 01:10 PM
symmetry
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?
• Jan 12th 2007, 01:21 PM
CaptainBlack
Quote:

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
• Jan 12th 2007, 01:25 PM
Quick
Quote:

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}\$
• Jan 12th 2007, 04:19 PM
symmetry
ok
Thank you for breaking the question into pieces of great information.