A group of 4 senior analysts and 2 junior analysts earns $28,600 every month. Another group of 3 senior analysts and 5 junior analysts earns $34,400 every month. Find the monthly salary of each senior analysts and junior analysts.
Let's assume the monthly salary of a senior analyst is S and the monthly salary of a junior analyst is J.
From the information given, we can create two equations:
4S + 2J = 28600 (Equation 1)
3S + 5J = 34400 (Equation 2)
To solve these equations, we can multiply Equation 1 by 3 and Equation 2 by 4 to eliminate the variable S.
12S + 6J = 85800
12S + 20J = 137600
Subtracting the two equations, we get:
(12S + 20J) - (12S + 6J) = 137600 - 85800
14J = 51800
J = 3700
Substituting the value of J into Equation 1, we get:
4S + 2(3700) = 28600
4S + 7400 = 28600
4S = 21200
S = 5300
Therefore, the monthly salary of a senior analyst is $5300, and the monthly salary of a junior analyst is $3700.