At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Ted bought 3 notebooks and 5 folders. Each notebook cost $4. The total for the supplies (before tax) was $27. How much was each folder? Write an equation and solve.

Sagot :

Ted bought 3 notebooks and 5 folders for $27

You know that each notebook cost $4, to the cost for the notebooks he bought can be calculated as the price per notebook multiplied by the number of notebooks bought:

[tex]3\cdot4=12[/tex]

→ He spent $12 on the three notebooks.

Let "f" represent the cost per folder, then 5f represents the cost of all folders, we know that the notebooks plus the folders cost $27, then:

[tex]12+5f=27[/tex]

From this expression, you can determine the cost of each folder, first subtract 12 from both sides of the equation:

[tex]\begin{gathered} 12-12+5f=27-12 \\ 5f=15 \end{gathered}[/tex]

Now divide both sides by 5 to determine the value of "f":

[tex]\begin{gathered} \frac{5f}{5}=\frac{15}{5} \\ f=3 \end{gathered}[/tex]

f=3 → This means that each folder costs $3