how to solve this word problem:
5200 tickets were sold and the receipts totaled $29,961. the adult admission is $7.50 and the child admission is $4.50. How many adult tickets were sold?

Question

how to solve this word problem:
5200 tickets were sold and the receipts totaled $29,961. the adult admission is $7.50 and the child admission is $4.50. How many adult tickets were sold?

nikato · Answer

let 
a+ # of adult tickets sold
and
c+# of child tickets sold

nikato · Answer

so we have two equations

tickets:
a+c=5200
and the money:
7.5a +4.5c = 29961

nikato · Answer

and you can subtract a on boths dies for the first equation and get

c=5200-a

substitute thsi into the second equation

7.5a + 4.5(5200-a) = 29961
and now solve for a

anonymous · Answer

would the answer be 547 adult tickets sold?

nikato · Answer

no.

nikato · Answer

7.5a + 4.5(5200-a) = 29961

7.5a + 23400 -4.5a=29961
         -23400             -23400
--------------------------------
3a= 6561
----   -----
3            3

a=?

anonymous · Answer

a=2187?

nikato · Answer

correct!

anonymous · Answer

thank you!

nikato · Answer

no problem