amberhoffman921 amberhoffman921
  • 12-01-2023
  • Mathematics
contestada

Najee has $10.90 in quarters and dimes. He has 10 fewer dimes than quarters. Write an equation using x to represent the number of each coin that Najee has.

Respuesta :

mhanifa
mhanifa mhanifa
  • 13-01-2023

Answer:

  • 34 quarters and 24 dimes

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Let the number of quarters be x, then the number of dimes is x - 10.

We know that quarter is $0.25 and dime is $0.10.

The total amount is $10.90.

Set up equation and solve for x:

  • 0.25x + 0.1(x - 10) = 10.9
  • 0.25x + 0.1x - 1 = 10.9
  • 0.35x = 11.9
  • x = 11.9/0.35
  • x = 34

Najee has 34 quarters and 34 - 10 = 24 dimes.

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