Cost per Pen

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Questions and Answers

If 7 pens cost the same as 4 notebooks and 1 notebook costs $5, what is the cost of 1 pen?

  • $2.86 (correct)
  • $1.43
  • $20.00
  • $3.57

Given that 7 pens have the same cost as 4 notebooks, and each notebook is $5, what is the total cost of the 4 notebooks?

$20

If 7 pens cost the same as 4 notebooks, each priced at $5, then 7 pens cost more than $20.

False (B)

If 4 notebooks cost $20 in total, then each notebook costs $___.

<p>$5</p> Signup and view all the answers

What information is needed to determine the cost of a single pen, given that 7 pens cost the same as 4 notebooks?

<p>The cost of one notebook. (A)</p> Signup and view all the answers

If 7 pens cost the same as 4 notebooks, changing the cost of each notebook will not affect the cost of an individual pen.

<p>False (B)</p> Signup and view all the answers

If 7 pens cost the same as 4 notebooks, and one notebook costs $5, what is the combined cost of 14 pens?

<p>$40</p> Signup and view all the answers

If the total cost of 4 notebooks is $20, and 7 pens cost the same amount, then the total cost of 21 pens would be $___.

<p>$60</p> Signup and view all the answers

If the cost of each notebook increased by $1, how would this affect the cost of a single pen, given that 7 pens cost the same as 4 notebooks?

<p>The cost of a pen would increase by approximately $0.57. (B)</p> Signup and view all the answers

If the price of notebooks doubles, the price of a single pen will also double, assuming 7 pens cost the same as 4 notebooks.

<p>True (A)</p> Signup and view all the answers

Match the calculations with their results based on the information given that 7 pens cost the same as 4 notebooks and 1 notebook costs $5:

<p>Total cost of 4 notebooks = $20 Cost of 1 pen = Approximately $2.86 Total cost of 14 pens = $40 Cost of 2 notebooks = $10</p> Signup and view all the answers

If the number of notebooks is halved while the cost per notebook remains the same, how does this affect the cost of a single pen, assuming 7 pens still cost the same?

<p>The cost of a pen is halved. (D)</p> Signup and view all the answers

How many notebooks can be bought with the money used to buy 21 pens if 7 pens cost the same as 4 notebooks?

<p>12</p> Signup and view all the answers

If an additional notebook is purchased, the total cost for 5 notebooks would be $___, given that each notebook costs $5.

<p>$25</p> Signup and view all the answers

If notebooks become cheaper and pens become more expensive, but 7 pens must still cost the same as 4 notebooks, the overall ratio of cost remains constant.

<p>True (A)</p> Signup and view all the answers

If the cost of 7 pens and 4 notebooks includes a combined sales tax, how would you calculate the pre-tax cost of one pen?

<p>Calculate the total cost including tax, subtract total tax to find the pre-tax total, then divide by 7. (D)</p> Signup and view all the answers

After evaluating that one pen approximately costs $2.86, what is the approximate cost for 35 pens?

<p>$100.10</p> Signup and view all the answers

If solving for the cost of a single pen involves dividing the total cost of 4 notebooks by 7, this operation is known as finding the ______ for each pen.

<p>unit cost</p> Signup and view all the answers

Regardless of the actual cost, if the expense for 7 pens is always directly equivalent to that of 4 notebooks, modifications in notebook pricing will not influence the proportional expense of the pens.

<p>False (B)</p> Signup and view all the answers

Match these quantities with the appropriate mathematical expression to calculate their value based on the total number of notebooks and cost per notebook, where cost per notebook is represented as 'c':

<p>Total cost of 4 notebooks = $4 \times c$ Cost of n notebooks = $n \times c$ Cost of half the original 4 notebooks = $2 \times c$ Increase of 1 notebook to the total = $5 \times c$</p> Signup and view all the answers

Flashcards

First Step?

Find the cost of one notebook first

Cost of 4 notebooks?

1 notebook costs $5. 4 notebooks cost 4 * $5 = $20.

Cost of 7 pens?

7 pens cost $20.

Cost of one pen?

Cost of one pen is $20 / 7 = $2.86 (rounded to the nearest cent).

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Study Notes

  • Cost of 1 notebook: $5
  • 4 notebooks cost: 4 * $5 = $20
  • 7 pens cost the same as 4 notebooks, so 7 pens cost $20
  • Cost of 1 pen: $20 / 7 = $2.857142857142857
  • Therefore, 1 pen costs approximately $2.86

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