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
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
