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Answer:

  n = c/5 -2d

Step-by-step explanation:

Each nickel represents 5 cents.

Each dime represent 10 cents.

So, n nickels and d times will be this many cents:

  5n +10d = c

We are asked for an expression for n. We can find it using the usual 2-step equation solving process.

  5n = c -10d . . . . . subtract 10d

  n = c/5 -2d . . . . . divide by 5. This is an expression for n in terms of d.

Lanuel

The value of n in terms of d and c is [tex]n = \frac{c - 10d}{5}[/tex]

  • Let the nickels be denoted by n.
  • Let the dimes be denoted by d.
  • Let the cents be denoted by c.

To find n in terms of d and c.

In this exercise, you're required to write a mathematical (algebraic) expression by using the three given variables and make nickel (n) the subject of formula in terms of d and c..

Note:

  • A nickel is 5 cents.
  • A dime is 10 cents.

Translating the given word problem into an algebraic expression, we would have;

[tex]5n + 10d = c\\\\5n = c - 10d\\\\n = \frac{c - 10d}{5}[/tex]

Therefore, the value of n in terms of d and c is [tex]n = \frac{c - 10d}{5}[/tex]

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