Question 256643
One day in July, 5200 tickets were sold and the receipts totaled $29,961.
 The adult admission is $7.50, and the children's admission is $4.50.
 How many adult patrons were there?
:
a = no. of adults
c = no. of children
:
Total tickets equation
a + c = 5200
c = (5200-a); use this form for substitution
:
The total$ equation
7.50a + 4.50c = 29961
:
Replace c with (5200-a) from the 1st equation
7.5a + 4.5(5200-a) = 29961
:
7.5a + 23400 - 4.5a = 29961
:
7.5a - 4.5a = 29961 - 23400
:
3a = 6561
a = {{{6561/3}}}
a = 2,187 adults bought tickets
:
:
Check solution
5000 - 2187 = 3013 children
7.5(2187) + 4.5(3013)   =
16402.50 + 13558.50 = 29961, confirms our solution