SOLUTION: 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?

Question 823322: 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?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
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

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