Problema Solution
I department A made 80% of the department B
Department A's growth rate is 1/3 greater that department B
If they made 280,000 total - how much did department A make?
Answer provided by our tutors
let
a2 = the revenue of A this year
a1 = the revenue of A last year
(a2 - a1)/a1 = the growth rate of A
b2 = the revenue of B this year
b1 = the revenue of B last year
(b2 - b1)/b1 = the growth rate of B
department A made 80% of the department B
a2 = 0.80b2
Department A's growth rate is 1/3 greater that department B
(a2 - a1)/a1 = 1/3 + (b2 - b1)/b1
they made 280,000 total
a2 + b2 = 280,000
by solving the system of equations
a2 = 0.80b2
a2 + b2 = 280,000
we find
a2 = $124,444.445
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department A made $124,444.445.