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These are the first sentences in the short story, "The Gift of the Magi," by O. Henry: "One dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies." Model the scenario with an equation. Let q be the number of quarters, d be the number of dimes, and n be the number of nickels.

Respuesta :

$1.87

60 cents in pennies = $.60

Each quarter is $.25, each dime is $.10, and each nickel is $.05.

1.87=q*.25+d*.10+n*.05+.60
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The model which represents the total amount in terms of pennies, quarters, dimes and nickel is 0.25q + 0.10d + 0.05n + 0.60

  • Total amount = $1 and 87 cents = $1.87

  • Amount in pennies = 60 cents = $0.60

  • Number of Quarters, Nickel and Dimes = q, n and d respectively

  • 1 quarter = $0.25 ; 1 dime = $0.10 ; 1 nickel = $0.05

To create a mathematical model of the total amount :

  • Total worth of Quarters = 0.25q
  • Total worth of dimes = 0.10d
  • Total worth of nickel = 0.05n
  • Total worth of pennies = $0.60

  • Total amount = 0.25q + 0.10d + 0.05n + 0.60

  • 0.25q + 0.10d + 0.05n + 0.60 = 1.87

Therefore, the model which represents the total amount is 0.25q + 0.10d + 0.05n + 0.60

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