Get expert insights and community support for your questions on IDNLearn.com. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

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.