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?

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.
-------------
RELATED QUESTIONS
If 109 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by richwmiller)

If 72 people attend a concert and tickets for adults cost $3.5 while tickets for children (answered by josgarithmetic)

If 110 people attend a concert and tickets for adults cost $3.5 while tickets for... (answered by math_tutor2020,josgarithmetic)

If 113 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by stanbon)

If 114 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by josgarithmetic)

If 136 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by mananth)

If 119 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by MathLover1)

If 118 people attend a concert and tickets for adults cost $4 while tickets for children... (answered by ikleyn)

If 126 people attend a concert and tickets for adults cost $3 while tickets for children... (answered by josmiceli,macston)