SOLUTION: Latoya, Miguel, and Deon have a total of $108 in their wallets. Deon has 4 times what Miguel has. Latoya has $6 less than Miguel. How much does each have? LaToya =

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Latoya, Miguel, and Deon have a total of $108 in their wallets. Deon has 4 times what Miguel has. Latoya has $6 less than Miguel. How much does each have? LaToya =       Log On


   

Question 1096864: Latoya, Miguel, and Deon have a total of
$108
in their wallets. Deon has
4
times what Miguel has. Latoya has
$6
less than Miguel. How much does each have?
LaToya = L
Miguel = M
Deon = D
L + M + D = 108
D = 4M
L = M - 6
M - 6 + M + 4M = 108
6M - 6 = 108
6M = 108 + 6
6M = 114
M = 19
D = 4 x 19
D = 76
L + 19 + 76 = 108
L + 95 = 108
L = 108 - 95
L = 13
LaToya = $13
Miguel = $19
Deon = $76



Found 2 solutions by josh_jordan, ikleyn:
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
LaToya = L
Miguel = M
Deon = D

L + M + D = 108
D = 4M
L = M - 6

M - 6 + M + 4M = 108
6M - 6 = 108
6M = 108 + 6
6M = 114
M = 19

D = 4 x 19
D = 76

L + 19 + 76 = 108
L + 95 = 108
L = 108 - 95
L = 13

LaToya = $13
Miguel = $19
Deon = $76


Answer by ikleyn(52875) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your solution is correct.

Good job !