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Arjun's piggy bank contains two kinds of coins and two kinds of bills. there are twice as many $1 bills like $5 bills. the number of quarters is 1 more than three times the number of $5 bills. and the number of dimes is 7 less than the number of quarters. how many of each type of bill and coin does Arjun have if the total is $39.90?

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mhanifa

Answer:

  • $5 bills x 5, $1 bills x 10, quarters x 16, dimes x 9

Step-by-step explanation:

  • $5 bills = x, total = 5x
  • $1 bills = 2x, total = x
  • Quarters = 3x + 1, total = 0.25(3x + 1)
  • Dimes = 3x + 1 - 7= 3x - 6, total = 0.1(3x - 6)

Equation below as the sum, solve for x:

  • 5x + 2x + 0.25(3x + 1) + 0.1(3x - 6) = 39.9
  • 7x + 0.75x + 0.25 + 0.3x - 0.6 = 39.9
  • 8.05x  - 0.35 = 39.9
  • 8.05x = 40.25
  • x = 40.25/8.05
  • x = 5

Number of each bill and coin:

  • $5 bills = 5
  • $1 bills = 2*5 = 10
  • Quarters = 3*5 + 1 = 16
  • Dimes = 3*5 - 6 = 9

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