<PRE><B>Question 432960</B>
your 2 equations to solve this are:
A + C = 370
5.00A + 3.50C = 1415.00

In the first equation, if you subtract C from both sides you get:
A = 370 - C

substitute this in for the second equation.

5.00(370-C) + 3.50C = 1415.00
1850 - 5.00C + 3.50C = 1415.00
1850 - 1.5C = 1415.00
-1850 on both sides
-1.5C = -435.00
Divide by -1.5 on both sides
C = 290 children tickets.

Then:
A + 290 = 370
Subtract 290 from both sides
A = 80 adult tickets were sold.

If you want to check your work:
5.00(80) + 3.50(290) = 1415.00
400.00 + 1015 = 1415.00
1415.00 = 1415.00</PRE>