Respuesta :

mhanifa

Answer:

  • 1) 18 quarters and 30 nickels
  • 2) 8 quarters and 12 nickels

Step-by-step explanation:

1) Let quarters be x and nickels be y.

Equations based on given, 48 coins, total of $6 = 600c:

  • x + y = 48
  • 25x + 5y = 600

Substitute y in the second equation, y = 48 - x

  • 25x + 5(48 - x) = 600
  • 25x + 240 - 5x = 600
  • 20x = 360
  • x = 18

Then value of y is:

  • y = 48 - 18 = 30

2) Similarly to problem 1.

  • x + y = 20
  • 25x + 5y = 260

Substitution: y= 20 - x

  • 25x + 5(20 - x) = 260
  • 25x + 100 - 5x = 260
  • 20x = 160
  • x = 8

Then finding y:

  • y = 20 - 8 = 12

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