Problema Solution
The startup division made 80 percent 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?
A) 70,000
B) 80,000
C) 96,000
D) 105,000
E) 120,000
Answer provided by our tutors
Let
s = startup division total
e = established division total
The divisions made 280,000 combined means:
s + e = 280,000
The startup division made 80 percent of 1/2 of the established division:
s = 0.80(1/2*e)
s = (8/10)(1/2)e
s = (2/5)e
Plug s = (2/5)e into s + e = 280,000
(2/5)e + e = 280,000
(7/5)e = 280,000
e = (280,000)(5/7)
e = 40,000*5
e = $200,000
s = (2/5)*200,000
s = $80,000
The startup division made B) $80,000.