2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.In how many days can 2 men and 1 boy do the work? Choose the correct choice from the following options:
A) 29/2
B) 21/2
C) 27/2
D) 23/2
E) 25/2
Let 1 man’s 1 day’s work = x and 1 boy’s 1 day’s work = y.   Then, 2x+3y = 1/10 and 3x+2y = 1/8   Solving,we get: x = 7/200 and y = 1/100   (2 men + 1 boy)’s 1 day’s work = (2 x 7/200 + 1 x 1/100 ) = 16/200 = 2/25   So, 2 men and 1 boy together can finish the work in 25/2 days   Answer is 25/2.
<result>E</result>
2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.In how many days can 2 men and 1 boy do the work?