SOLUTION: If 122 people attend a concert and tickets for adults cost $4 while tickets for children cost $3 and total receipts for the concert was $443, how many of each went to the concert?
Algebra ->
Customizable Word Problem Solvers
-> Coins
-> SOLUTION: If 122 people attend a concert and tickets for adults cost $4 while tickets for children cost $3 and total receipts for the concert was $443, how many of each went to the concert?
Log On
Question 1129561: If 122 people attend a concert and tickets for adults cost $4 while tickets for children cost $3 and total receipts for the concert was $443, how many of each went to the concert?
Adults-
Children- Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! If 122 people attend a concert and tickets for adults cost $4 while tickets for children cost $3 and total receipts for the concert was $443, how many of each went to the concert?
-----
Equations:
People Eq:: a + c = 122 people
Value Eq:: 4a + 3c = 443
------------------
Solve for "a"::
3a + 3c = 3*122
4a + 3c = 443
------------------
Subtract to get:
a = 443*366 = 77
----
Solve for "c"::
77+c =122
c = 45
-----------
Adults:: 77
Children:: 45
-----------
Cheers,
Stan H.
-------------