floresblanca833
floresblanca833 floresblanca833
  • 18-03-2022
  • Advanced Placement (AP)
contestada

Bennie the banker has 35 coins that have a value of $4.35. Some of the coins Bennie has are
nickels and the rest are quarters.
Problem
How many nickels does Bennie have?

Respuesta :

palazzolorachel palazzolorachel
  • 18-03-2022

Answer:

22 nickles or 13 quarters

Explanation:

[tex]x=nickels\\ y=quarters[/tex]

[tex](x+y=35).05[/tex]

[tex].05x+.25y=4.35[/tex]

[tex].05x+.05y=1.75[/tex]

[tex]-(.05x+.25y=4.35)[/tex]

[tex]-.2y=-2.6[/tex]

[tex]y=13[/tex]

[tex]x+13=35[/tex]

[tex]x=22[/tex]

[tex]22\ nickels\ or\ 13\ quarters[/tex]

I hope this helps you

:)

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