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Logan's favorite store was having a sale on Saturday. Logan bought 8 new t-shirts for $6.50 each, and 4 pair of shorts for d dollars each. He spent a total of $84.00. Write and solve an equation to find the cost of one pair of shorts.

Sagot :

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.

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