help me please

Question

the startup division made 80% of 1/2 of the established division. The startup divison's growth was 1/3 greater than the established division's. If the divisons made $280,000 combined, how much did the startup division make

Answer 1

S + E = 280000

 

S = 80% of 1/2 of E = (4/5)(1/2)E = (2/5)E

 

(2/5)E + E = 280000

 

(2/5)E + (5/5)E = 280 k

 

(7/5)E = 280 k

 

 E = 280 k * 5/7

 

   = 40 k * 5 <---- 280 cancels the 7

 

  = 200 k

 

The established division made 200,000

The start-up division made 80,000