Respuesta :

Answer:

[tex]0.01p + 0.05n = 8.80; n = 2p[/tex]

[tex]P = 80[/tex]

[tex]N = 160[/tex]

Step-by-step explanation:

Hello!

Equation

We know that there are twice as many nickels as pennies, so we can say that n = 2p.

  • [tex]n = 2p[/tex]

Given the hint:

  • Pennies are worth $0.01
  • Nickels are worth $0.05

Since "N" and "P" represent the number of pennies, information that we don't know, we can fill in the blank spaces with the value, information that we do know.

  • [tex]?p + ?n = 8.80; n = 2p[/tex]
  • [tex]0.01p + 0.05n = 8.80; n = 2p[/tex]

Solution

Solve for P

We can plug in 2p for "N" in the equation to solve for "P".

  • [tex]0.01p + 0.05n = 8.80; n = 2p[/tex]
  • [tex]0.01p + 0.05(2p) = 8.80[/tex]
  • [tex]0.01p+0.1p = 8.80[/tex]
  • [tex]0.11p = 8.80[/tex]
  • [tex]p = 80[/tex]

There are 80 pennies.

Solve for N

We can plug in 80 in the second equation (N = 2p) to solve for N.

  • [tex]n = 2p[/tex]
  • [tex]n = 2(80)[/tex]
  • [tex]n = 160[/tex]

There are 160 nickels.

The equation: [tex]0.01p + 0.05n = 8.80; n = 2p[/tex]

# of Pennies: [tex]P = 80[/tex]

# of Nickels: [tex]N = 160[/tex]

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