SOLUTION: A total of 360 people came to play. There were 100 more adults than children. How many adults and how many children came to the play?

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Question 1111273: A total of 360 people came to play. There were 100 more adults than children. How many adults and how many children came to the play?
Found 3 solutions by josgarithmetic, ikleyn, Shin123:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Adult + Children = 360

A     + C        = 360


A     + (A-100)  = 360


2A - 100 = 360  ====>  2A = 360+100 = 460  ====>  A = 460%2F2 = 230 is the number of adults.


Then the number of children  was  230 - 100 = 130.


Check.  130 + 230 = 360.

Solved.


Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
a=adults
c=children
system%28a%2Bc=360%2Cc%2B100=a%29 Substitute c+100 for a,
c%2B%28c%2B100%29=360 2c%2B100=360 2c=260 highlight%28c=130%29
a%2B130=360 highlight%28a=230%29 Check: 130%2B230=360 and 230-130=100