At a Museum adult admission is $11.50 in children admission is $5.50 during one day a total of 2500 adults and children admissions were collected and $19,750 in a admission fees was collected how many adult admissions were collected

Make a system of equations to solve this. We will make x be the #children and y the # of adults:

x+y=2500

5.5x+11.5y=19750

Now we change the first equation to isolate one of the variable:

x=2500-y

now that we know what x kinda equals we can put it into the other equation and solve:

5.5 (2500-y) + 11.5y=19750

13750-5.5y+11.5y=19750

6y=6000

y=1000

Now we can plug our new value for y into the first original equation:

x+1000=2500

x=1500

So we know there were 1500 children and 1000 adults.