Answer:
Let's assign variables to represent the amounts of money each person has:
Let A represent the amount Amy has.
Let M represent the amount Manuel has.
Let L represent the amount Lamar has.
We are given the following information:
1. Amy has $10 more than Manuel, so A = M + $10.
2. Lamar has 4 times what Amy has, so L = 4A.
3. The total amount of money they have is $92, so A + M + L = $92.
Now we can solve the system of equations to find the values of A, M, and L.
Substituting the value of A from equation 1 into equation 3:
(M + $10) + M + 4(M + $10) = $92
M + $10 + M + 4M + $40 = $92
6M + $50 = $92
6M = $92 - $50
6M = $42
M = $42 / 6
M = $7
Using the value of M, we can find A:
A = M + $10
A = $7 + $10
A = $17
Finally, using the value of A, we can find L:
L = 4A
L = 4($17)
L = $68
Therefore, Amy has $17, Manuel has $7, and Lamar has $68 in their wallets.