SOLUTION
Given the question in the question tab, the following are the solution steps to answer the question.
STEP 1: Interpret the statements
Let the tickets for a one-hour tour be represented by x
Let the tickets for a two-hour tour be represented by y
[tex]\begin{gathered} It\text{ can be deduced from the statements in the question that;} \\ 25x+48y=313 \\ x+y=8 \end{gathered}[/tex]STEP 2: Solve the derived equations simultaneously
[tex]\begin{gathered} 25x+48y=313---\text{equation 1} \\ x+y=8----\text{equation 2} \\ \text{From equaton 2,} \\ x=8-y \\ \mathrm{Substitute\: }x=8-y\text{ into equation 1} \\ 25(8-y)+48y=315 \\ 200-25y+48y=315 \\ 200+23y=315 \\ 23y=315-200=115 \\ y=\frac{115}{23}=5 \end{gathered}[/tex]STEP 3: Get the value of x
[tex]\begin{gathered} \text{From equation 2} \\ x+y=8,x=8-y \\ \mathrm{Substitute\: }y=5 \\ x=8-5=3 \end{gathered}[/tex]Hence,
the number of tickets for a one-hour tour bought is 3
the number of tickets for a two-hour tour bought is 5
