Lauren has a total of two hundred seventy pennies, nickels, and quarters. She has a total of $17.10. She has two times as many nickels as quarters and onethird as many quarters as pennies. How many of each coin does she have? x = number of quarters 2x = number of nickels {two times as many nickels as quarters} 3x = number of pennies {onethird as many quarters as pennies} 0.25x + 0.05(2x) + 0.01(3x) = 17.10 {number of coins times value of coin equals total value} 0.25x + 0.1x + 0.03x = 17.1 {multiplied through} 0.38x = 17.1 {combined like terms} x = 45 quarters {divided each side by 0.38} 2x = 90 nickels {substituted 45 for x, into 2x} 3x = 135 pennies {substituted 45 for x, into 3x} 45 quarters, 90 nickels, and 135 pennies  Algebra House
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