At the city museum, child admission is $5.90 and adult admission is $9.50 . on tuesday, 162 tickets were sold for a total sales of $1182.60 . how many child tickets were sold that day?

99 child tickets were sold hope that helps 

Let's make
A = adult tickets sold
C = child tickets sold
A + C = 162
5.90C + 9.50A = 1182.60

if .. A+C = 162 then A = 162 - C
substitute (162 - C) for A in the other equation.

5.9C + 9.5(162-C) = 1182.6
5.9C + 1539 - 9.5C = 1182.6
-3.6C + 1539 = 1182.6
-3.6C = 1182.6 - 1539
-3.6C = -356.4
C = -356.4/-3.6
C = 99 tickets