[tex]\text{Answer : x + 2}\frac{1}{2}\text{ = 4}[/tex]
Let the total number of hours Lynn would drive to her grandmother house be 4
She has already driven 2 1/2 hours
Let x be the remaining hours
[tex]\begin{gathered} \text{ Remaining hours + Hours driven already = total hours } \\ \text{ Remaining hours = x} \\ \text{ Hours driven = x} \\ \text{Total hours = 4} \\ x\text{ + 2}\frac{1}{2}\text{ = 4} \end{gathered}[/tex][tex]\begin{gathered} To\text{ calculate how many hours left to drive} \\ \text{Firstly, convert the mixed fraction to an improper fraction} \\ 2\frac{1}{2}\text{ = }\frac{2\text{ x 2 + 1}}{2} \\ =\text{ }\frac{5}{2} \\ \text{Hence, the equation becomes} \\ x\text{ + }\frac{5}{2}\text{ = 4} \\ x\text{ = 4 - }\frac{5}{2} \\ \text{Common denominator is 2} \\ x\text{ = }\frac{2\text{ x 4 - 5}}{2} \\ x\text{ = }\frac{8\text{ - 5}}{2} \\ =\text{ }\frac{3}{2} \\ =\text{ 1}\frac{1}{2} \end{gathered}[/tex]
She has 1 1/2 hours left to drive
