\begin{tabular}{l}\hline 40 Listen \\ There were 175 spectators at a concert. The box office sold 10 more adult tickets than twice the number of discounted student \\ tickets. \\ How many more adults than students bought tickets to the concert? \end{tabular}

Let the number of discounted student tickets be \( s \). According to the problem, the number of adult tickets sold is given as \( 2s + 10 \) because it is 10 more than twice the number of student tickets. We know the total number of tickets sold is 175. Therefore, we can set up the equation: \[ s + (2s + 10) = 175 \] Combining like terms gives us: \[ 3s + 10 = 175 \] Now, subtract 10 from both sides: \[ 3s = 165 \] Next, divide by 3: \[ s = 55 \] Now that we have \( s \), we can find the number of adult tickets sold: \[ 2s + 10 = 2(55) + 10 = 110 + 10 = 120 \] Finally, to find how many more adults than students bought tickets: \[ 120 - 55 = 65 \] Thus, **65 more adults than students bought tickets to the concert.**