X - number of the adults, y - number of children;
The system is:
10 x + 6 y = 3292
x + y = 350 => y = 350 - x
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10 x + 6 * ( 350 - x ) = 3292
10 x + 2100 - 6 x = 3292
4 x = 3292 - 2100
4 x = 1192
x = 1192 : 4
x = 298
y = 350 - 298
y = 52
Answer:
There were 598 adults and 52 children at the showing.
First times the total by 1.05, by (1 + the rate of change which in this case is .05)
24.20 x 1.05 = 25.41
Then add the tip
25.41 + 5 = $29.41
$29.41 is your final answer
The pitcher can throw 58 until he reaches the limit, hopefully I helped :)