Maria has a piggy bank at home full of nickels and dimes. She has $14.75 in the bank. there are 20 more dimes than nickels. How many of each type of coin are in the piggy bank? x = number of nickels x + 20 = number of dimes {there are 20 more dimes than nickels} 0.05x + 0.1(x + 20) = 14.75 {value of coin multiplied by number of coins equals total value} 0.05x + 0.1x + 2 = 14.75 {used distributive property} 0.15x + 2 = 14.75 {combined like terms} 0.15x = 12.75 {subtracted 2 from each side} x = 85 {divided each side by 0.15} x + 20 = 105 {substituted 85, in for x, into x + 20} 85 nickels and 35 dimes  Algebra House
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