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The change machine at an arcade gives change in the form of 25 -cent coins (quarters) and one-dollar bills. The manager of the arcade would like at least $50 worth of quarters and $100 worth of one-dollar bills in the machine at all times. Also, the manager does not allow more than $500 in the machine at any time. What is the maximum number of quarters the manager would allow in the change machine? Choose 1 answer: (A) 200 (B) 400 (C) 1,600 (D) 2,000

The change machine at an arcade gives change in the form of 2525-cent coins (quarters) and one-dollar bills. The manager of the arcade would like at least $50 \$ 50 worth of quarters and $100 \$ 100 worth of one-dollar bills in the machine at all times. Also, the manager does not allow more than $500 \$ 500 in the machine at any time. What is the maximum number of quarters the manager would allow in the change machine?\newlineChoose 11 answer:\newline(A) 200200\newline(B) 400400\newline(C) 11,600600\newline(D) 22,000000

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Q. The change machine at an arcade gives change in the form of 2525-cent coins (quarters) and one-dollar bills. The manager of the arcade would like at least $50 \$ 50 worth of quarters and $100 \$ 100 worth of one-dollar bills in the machine at all times. Also, the manager does not allow more than $500 \$ 500 in the machine at any time. What is the maximum number of quarters the manager would allow in the change machine?\newlineChoose 11 answer:\newline(A) 200200\newline(B) 400400\newline(C) 11,600600\newline(D) 22,000000
  1. Convert to Coins/Bills: Convert the minimum dollar amounts required in quarters and one-dollar bills to the number of coins and bills.\newline$50\$50 worth of quarters is equivalent to $50/$0.25\$50 / \$0.25 per quarter = 200200 quarters.\newline$100\$100 worth of one-dollar bills is equivalent to 100100 one-dollar bills.
  2. Calculate Total Minimum: Calculate the total minimum amount of money required in the machine.\newlineThe total minimum amount is $50\$50 (in quarters) + $100\$100 (in one-dollar bills) = $150\$150.
  3. Determine Maximum Amount: Determine the maximum amount of money allowed in the machine. The manager does not allow more than $500\$500 in the machine at any time.
  4. Calculate Maximum in Quarters: Calculate the maximum amount of money that can be in quarters.\newlineSince the machine can have a maximum of $500\$500 and there must be at least $100\$100 in one-dollar bills, the maximum amount in quarters is $500−$100=$400\$500 - \$100 = \$400.
  5. Convert to Quarters: Convert the maximum dollar amount in quarters to the number of quarters.\newline$400\$400 worth of quarters is equivalent to $400/$0.25\$400 / \$0.25 per quarter = 16001600 quarters.

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