Answer:
Jaime = 11
Sammy = 44
Step-by-step explanation:
It is given that Sammy is eleven less than five times Jaime's age. Use parameter (S) to represent Sammy's age, and parameter (J) to represent Jaime's age. Form an equation based on this given information:
S = 5J - 11
It is given that the sum of the two girl's ages is (55), use an equation to represent this.
S + J = 55
Substitute in the expression for the value of (S) in terms of (J),
(5J - 11) + J = 55
Simplify,
6J - 11 = 55
Inverse operations,
6J - 11 = 55
6J = 66
J = 11
Backsolve for the value of (S), substitute in the value of (J) into the equation for (S) and solve,
S = 5(J) - 11
S = 5(11) -11
S = 55 - 11
S = 44
Answer:
100 hours
Step-by-step explanation:
Law firm A = 350x + 22,000,
Law firm B = 410x+16,000
Where,
x = number of hours of legal assistance
What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?
Equate the legal fees of the two law firms
350x + 22,000 = 410x + 16,000
Collect like terms
350x - 410x = 16,000 - 22,000
-60x = -6,000
Divide both sides by -60
x = -6,000 / -60
= 100
x = 100 hours
The number of hours of legal assistance makes the equation true is 100 hours
