Marco has 150 coins, all nickels and dimes. He has 12 moredimes than nickels. a.
ID: 3088667 • Letter: M
Question
Marco has 150 coins, all nickels and dimes. He has 12 moredimes than nickels. a. If n = # of nickels and d = # of dimes, write a systemof equations to represent this situation. b. Solve the system to determine how many nickels and how manydimes ha has. c. How much money does Marco have? Marco has 150 coins, all nickels and dimes. He has 12 moredimes than nickels. a. If n = # of nickels and d = # of dimes, write a systemof equations to represent this situation. b. Solve the system to determine how many nickels and how manydimes ha has. c. How much money does Marco have?Explanation / Answer
Since you know how many coins you have and the amount of nickelsyou have you can set up two equations (one representing the numberof coins and one for the number of nickels). n + d = 150 (equation for number of coins) d = 12 + n (number of dimes) Since you know what d is you can substitute d into the firstequation and solve for n. n + (12 + n) = 150 Solving for n gives you n= 69. By the first equation then d = 81. Then for the last part just multiply n by .05 and d by .10 and addthe sum to figure out how much money he has. Hope thishelps!! Please rate me!