SAT Mathematics Practice Test 3

Because each student ticket costs $\mathrm{\$}2$ and each adult ticket costs $\mathrm{\$}3$, the total amount, in dollars, that Chris spends on $\mathit{x}$ student tickets and 1 adult ticket is $2\left(\mathit{x}\right)+3\left(1\right)$.
Because Chris spends at least $\mathrm{\$}11$ but no more than $\mathrm{\$}14$ on the tickets, one can write the compound in equality $2\mathit{x}+3\ge 11$ and $2\mathit{x}+3\le 14$.
Subtracting 3 from each side of both inequalities and then dividing each side of both inequalities by 2 yields $\mathit{x}\ge 4$ and $\mathit{x}\le 5.5$.
Thus, the value of x must be an integer that is both greater than or equal to 4 and less than or equal to 5.5
Therefore, $\mathit{x}=4$ or $\mathit{x}=5$. Either 4 or 5 may be gridded as the correct answer.