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Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?



If the variable n represents the number of nickels, then which of the following expressions represents the number of quarters?

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sqdancefan

Answer:

  • 2 nickels
  • 8 quarters

Step-by-step explanation:

If n represents the number of nickels, and the number of quarters is 4 times the number of nickels, then the number of quarters is represented by 4n.

The total value of the coins in cents is ...

  5(n) +25(4n) = 210

  105n = 210 . . . . . . . . collect terms

  n = 210/105 = 2 . . . . number of nickels

  4n = 4(2) = 8 . . . . . . number of quarters

Peggy has 2 nickels and 8 quarters.

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