A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 900. How many workers were part of the latter production run? Choose the correct choice from the following answers
A) A)6
B) B)10
C) C)11
D) D)15
E) E)34
The daily average production is given by 5n + 20- given   In the first k days, 500 units are produced   = (5n+20)K =500   k = 500/5n+20...................................1   5 workers were added = 5(n+5)+20 = 5n +45   cumulative is 900 .. thus for the current period = 900 -500= 
<gadget id="calculator">900 -500</gadget>
<output>400</output>
400   (5n+45)K= 400   k = 400/5n+45........................................2   equate 1 and 2   500/5n+20 = 400 /5n+45   500(5n+45) = 400(5n+20)   25n + 225 = 20n + 80   5n =145   n = 29   thus n+5 = 34   hence 34
<result>E</result>
A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 900. How many workers were part of the latter production run?