While assaulting a fortified machine gun bunker, a Marine fired 2000 rounds during two engagements. If he fired 800 rounds more in his first engagement that in his second, how many rounds did he fire during his first engagement?
You have to set up a system of equations. Let X = first engagement, let Y = second engagement.
so X + Y = 2000
We also know that the difference between the amount of rounds expended is 800. So we can say,
X - Y = 800
Now, we can re-arrange this equation to state,
X = 800 + Y
Substitute this value for X into the first equation (X + Y =2000)
so now, we can say
(800 + Y) + Y = 2000
So 2Y = 1200
Y = 600 rounds
Since X + Y = 2000,
X + 600 = 2000, so X = 1400, which is 800 more than Y.