A pile of coins, consisting of quarters and half dollars, is worth 11.75. If there are 2 more quarters than half dollars, how many of each are there? Let h be the number of half-dollars and q be the number of quarters. Set up two equations: (1) q = h + 2 (2) 0.25q + 0.5h = 11.75 [U]Substitute (1) into (2)[/U] 0.25(h + 2) + 0.5h = 11.75 0.25h + 0.5 + 0.5h = 11.75 [U]Group h terms[/U] 0.75h + 0.5 = 11.75 [U]Subtract 0.5 from each side[/U] 0.75h = 11.25 [U]Divide each side by h[/U] [B]h = 15[/B] [U]Substitute h = 15 into (1)[/U] q = 15 + 2 [B]q = 17[/B]

At the movie theater, Celeste bought 2 large drinks and 2 large popcorns for $8.50. She paid with a twenty-dollar bill. What is the fewest number of bills and coins that she could have received as change?r of bills and coins that she could have received as change? Calculate change: Change = Amount Paid - Bill Change = $20.00 - $8.50 Change = $11.50 Largest bill we can start with is a 10 dollar bill: $11.50 - 10 = $1.50 Next largest bill is a $1 bill $1.50 - $1 = 0.50 Now we're down to coins. Largest coin(s) we can use are quarters (assuming no half-dollars) 2 quarters equals 0.50 0.50 - 0.50 = 0 [U]Therefore, our answer is:[/U] [B]Ten dollar Bill, 1 dollar bill, and 2 quarters[/B]

Free Coin Denomination Conversions Calculator - This caculator converts between the following coin denominations:
* Penny
* Nickel
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* Quarter
* Half-Dollar
* Dollar

Free Coin Values Calculator - This calculates the total value of a given amount of:
* Pennies
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* Half-Dollars
* Dollars

If a jar of coins contains 50 half-dollars and 120 quarters, what is the monetary value of the coins? We use our [URL='https://www.mathcelebrity.com/coinvalue.php?p=+&n=+&d=+&q=120&h=+50&dol=+&pl=Calculate+Coin+Value']coin values calculator[/URL], and we get: [B]$55.00[/B]