Finance

• Jan 12th 2007, 02:10 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, 02:21 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, 02:25 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?

$M$ stands for the amount miguel gets.

$R$ stands for the amount rita gets.

You know that: $M+R=10000$

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

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

Then: $2R-2000=10000$

So: $2R=12000$

Finally: $\boxed{R=6000}$
• Jan 12th 2007, 05:19 PM
symmetry
ok
Thank you for breaking the question into pieces of great information.