Question 1030680
Call the numbers of $5 and $10 tickets, x and y.  Then we write
x + y = 23  and the value equation is
5x + 10y = 175
Multiply the top one by 5 and subtract...we get
5x + 10y = 175
-(5x + 5y = 115)
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5y = 60
y = 12 $10 tickets
which means there are
x = 11 $5 tickets