word problems

This is possibly one of the worst written questions I have ever seen in my entire life, and I urge an administrator or the original author to change the wording.

I assume the question asked how many pieces / details? the team eventually made, but actually, it was asking for how many were originally ordered. Solving the question is fairly straightforward.

Let $x$ be the number of days.

Then $25x$ is the number of pieces required.

After three days then, $75x$ pieces are produced. After this point, the team produces /(30x)/ a day. This lets us form an equation.

$75 + 30(x-3) = 25x + 100$

$30x -15 = 25x + 100$

$x = 23$

So they worked for 23 days, which makes the total order $25 \times 23 = \boxed{575}$ .

I hope that cleared up some of the confusion!

let x be the no of days...so the total details=25 x=y(say)...now given after 3 days,they increase the productivity by 5 and gets 100 more pieces...so (25 3)+30*(x-3)=y+100....solving both the equations,y=575=total details...