# SOLUTION: You have 28 coins that are all nickles and dimes. The value of the coins together is \$2.05. Write and solve a system of equations that will indicate how many of each coin you have.

Algebra ->  College -> SOLUTION: You have 28 coins that are all nickles and dimes. The value of the coins together is \$2.05. Write and solve a system of equations that will indicate how many of each coin you have.      Log On

 Question 522470: You have 28 coins that are all nickles and dimes. The value of the coins together is \$2.05. Write and solve a system of equations that will indicate how many of each coin you have.Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!n = number of nickels 5n = value of the nickels in cents d = number of dimes 10d = value of the dimes in cents . 5n + 10d = 205 cents . n + d = 28 so n = 28-d . substitute . 5(28-d) +10d = 205 . 140 -5d + 10d = 205 . 5d = 65 . d = 13 . n = 28-d = 28-13 = 15 . Check the values to be sure this is the answer: 5n = 5(15) = 75 10d = 10(13) = 130 75+130=205 Correct. . Answer: 15 nickels and 13 dimes. . Done.