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.Com
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(52925)   (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 =  = 19.

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


RELATED QUESTIONS

Lashonda, Brian, and Ravi have a total of $106 in their wallets. Lashonda has $10 less... (answered by macston)
age Tammy, Brian, and Ahmad have a total of $ 80 in their wallets. Ahmad has (answered by ikleyn,greenestamps)
maya, rafael, and carlos have a total of $90 in their wallet. Maya has $5 more than... (answered by rfer)
Jenny, Chau, and Ryan have a total of $67 in their wallets. Ryan has $8 more than (answered by ikleyn)
Amy, Chau, and Juan have a total of 90 in their wallets. Amy has 5 more than Chau.... (answered by ikleyn,MathLover1)
Amy,Joe and David have a total of $135 in their wallets. Joe has $10 more than Amy. David (answered by lenny460)
Lashonda, Tom, and Michael have a total of in their wallets. Lashonda has more than... (answered by Alan3354)
Amy, Shen, and Ryan have a total of $68 in their wallets. Shen has $8 more than Amy. Ryan (answered by ikleyn)
Linda, Austin, and Juan have a total of $137 in their wallets. Linda has $7 more than... (answered by addingup)