Question 823322
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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