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PROBLEM 1
Sam bought three folders and one
notebook from the office store and
spent $8.25. He went back the next
day and bought two more folders
and three more notebooks and
spent $16. If the prices did not
change between the days, find
the cost of one folder.
Answer:
​

Respuesta :

Folder = 1.25$

Notebook = 4.5 $

Folder =x

Notebook = y

Ver imagen MohamedSobhy

The cost of one folder if the prices did not change between the days, for this case, is $1.25

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Given that:

  • Amount spent in buying 3 folders and 1 notebook = $8.25
  • Amount spent in buying 2 folders and 3 notebook = $16
  • Assumed that prices don't change

To find:

Cost of one folder.

Assume that:

  • Cost of one folder = $x
  • Cost of one notebook = $y

Then, from the given condition, we get:

Amount spent in buying 3 folders and 1 notebook = 3x + 1y dollars = $8.25

And, amount spent in buying 2 folders and 3 notebook = 2x + 3y dollars = $16

Thus, we get two equations as:

[tex]3x + 1y = 8.25\\2x + 3y = 16[/tex]

From the first equation, getting 'y' in terms  of 'x', we get:

[tex]y = 8.25 - 3x[/tex]

Substituting this in second equation, we get:
[tex]2x + 3(8.25 - 3x) = 16\\2x +24.75 -3x = 16\\(2-9)x = 16 - 24.75\\-7x = -8.75\\7x = 8.75\\x = 8.75/7 =1.25 \: \rm dollars[/tex]

As we have Cost of one folder = $x

Thus, the cost of one folder if the prices did not change between the days, for this case, is $1.25

Learn more about forming equations here:

https://brainly.com/question/11938672

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