Answer
There were 9 adults and 2 children
Work Step by Step
Make two equations: x+y=11 and 22x+15y=228. X is the number of adults and y is the number of children. Isolate y in the first equation in order to be able to substitute it into the second equation:
x+y=11 -subtract x from both sides-
y=11-x
Substitute the equation into the second equation:
22x+15y=228 -substitute-
22x+15(11-x)=228 -distribute-
22x+165-15x=228 -simplify like terms-
7x+165=228 -subtract 165 from both sides-
7x=63 -divide both sides by 7-
x=9
Substitute x=9 into one of the equations to solve for Y:
x+y=11
9+y=11
y=2
(9,2).There were 9 adults and 2 children
