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We know that Logan bought 8 t shirts and that each of them cost $6.50, this means the he spent:
[tex]8\cdot6.5=52[/tex]on t shirts.
Now, we know that he bought 4 pairs of shorts and that each of them cost d dollars, this means that he spent:
[tex]4d[/tex]on shorts.
Finally we know that the total was $84, so addind the first two expressions and equating to the total cost leads to:
[tex]4d+52=84[/tex]Solving for d we have:
[tex]\begin{gathered} 4d+52=84 \\ 4d=84-52 \\ 4d=32 \\ d=\frac{32}{4} \\ d=8 \end{gathered}[/tex]Therefore, one pair of shorts cost $8.00.