SOLUTION: Marco has 150 coins, all nickels and dimes. He has 12 more dimes than nickels. How many nickels and how many dimes does he have?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Marco has 150 coins, all nickels and dimes. He has 12 more dimes than nickels. How many nickels and how many dimes does he have?      Log On


   



Question 37654This question is from textbook
: Marco has 150 coins, all nickels and dimes. He has 12 more dimes than nickels. How many nickels and how many dimes does he have? This question is from textbook

Answer by junior403(76) About Me  (Show Source):
You can put this solution on YOUR website!
Marco has 150 coins, all nickels and dimes. He has 12 more dimes than nickels. How many nickels and how many dimes does he have?
If we let (n) = the number of nickles...
We need to show the number of dimes in terms of nickles, so the number of dimes = (n + 12).
The nickles + dimes = 150.
So our equation would be...
n + (n + 12) = 150
we start by adding like terms...
n + n = 2n
so...
2n + 12 = 150
Subtract 12 from both sides of the equation...
2n = 138
Then divide both sides by 2...
n = 69
There are 69 nickles.
There are 12 more dimes than nickles, so...
69 + 12 = 81 dimes.
69 + 81 = 150.
Good Luck!
Thanks for the question!