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.