Problema Solution
The startup division made 80% of 1/2 of the established division. The startup division’s growth was 1/3 greater than the established division’s. If the divisions made $280,000 combined, how much did the startup division make? $70,000.00
Answer provided by our tutors
We will ignore the part "The startup division’s growth was 1/3 greater than the established division’s." because it doesn't give us relevant info.
Let
x = startup division total, x>0
y = established division total, y>0
The startup division made 80% of 1/2 of the established division:
x = 0.80*(1/2)*y
The divisions made $280,000 combined:
x + y = 280000
We have the following system of equations:
x = 0.80*(1/2)*y
x + y = 280000
........
click here to see all the system of equations solution steps
........
x = $80,000
y = $200,000
The startup division made $80,000.