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Sadie has $1 worth of nickels and dimes. She has twice as many nickels as dimes. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Sadie has. Define the variables that you use to write the system.

Respuesta :

brinashea1202
N + 2d =1
This is the system of equations because it is 2 times more than nickels
fichoh

The system of equations which can be used to model the scenario are :

  • n = 2d _____________(1)

  • 0.05n + 0.10d = 1 _____(2)

Let :

  • Number of dimes = d

  • Number of nickels = n

  • Number of nickels = 2 × number of dimes

  • n = 2d - - - - - (1)

Worth of nickels and dimes:

  • A dime = $0.10
  • A nickel = $0.05

The total worth of nickel and dimes can be expressed thus :

  • (Worth per nickel × number of nickels) + (worth per dime × number of dimes)

  • (0.05 × n) + (0.10 × d) = 0.05n + 0.10d = 1

Therefore, the systems of equation required are :

  • n = 2d _____________(1)
  • 0.05n + 0.10d = 1 _____(2)

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