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

Algebra ->  Test -> SOLUTION: Marco had 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 424034: Marco had 150 coins,all nickels and dimes. He has 12 more dimes than nickels. How many nickels and how many dimes does he have ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = number of dimes
Let n = number of nickels
given:
(1) d+%2B+n+=+150
(2) d+=+n+%2B+12
------------------------
Substitute (2) into (1)
(1) +n+%2B+12+%2B+n+=+150
(1) +2n+=+150+-+12+
(1) +2n+=+138
n+=+69
and, since
(2) d+=+n+%2B+12
d+=+69+%2B+12
d+=+81
He has 81 dimes and 69 nickels