SOLUTION: Teresa, Rafael, and Brian have a total of $115 in their wallets. Brian has 3 times what Teresa has. Rafael has $10 more than Teresa. How much does each have?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Teresa, Rafael, and Brian have a total of $115 in their wallets. Brian has 3 times what Teresa has. Rafael has $10 more than Teresa. How much does each have?      Log On


   



Question 1051051: Teresa, Rafael, and Brian have a total of
$115 in their wallets. Brian has 3
times what Teresa has. Rafael has $10
more than Teresa. How much does each have?

Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
Teresa, Rafael, and Brian have a total of
$115 in their wallets. Brian has 3
times what Teresa has. Rafael has $10
more than Teresa. How much does each have?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let T be an amount Teresa has (in dollars).

Then Brian has 3T dollars, Rafael has T + 10.

The "value" equation is 

T + B + R = 105,  or

T + 3T + (T+10) = 105,  or

5T = 105 - 10  --->  5T = 95  --->  T = 95%2F5 = 19.

Answer.  T has 19, B has 3*19 = 57, R has T + 10 = 29.