SOLUTION: You have quarters and nickels. You have a total of 15 coins. Altogether you have a total of $1.55. how many coins do you have?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You have quarters and nickels. You have a total of 15 coins. Altogether you have a total of $1.55. how many coins do you have?      Log On


   

Question 219874: You have quarters and nickels. You have a total of 15 coins. Altogether you have a total of $1.55. how many coins do you have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = number of nickels
Let q = number of quarters
given:
(1) n+%2B+q+=+15
(2) 5n+%2B+25q+=+155 (in cents)
---------------------------------
From (1)
q+=+15+-+n
Subsitute in (2)
(2) 5n+%2B+25q+=+155
5n+%2B+25%2A%2815+-+n%29+=+155
5n+%2B+375+-+25n+=+155
-20n+=+-220
n+=+11
And
q+=+15+-+n
q+=+15+-+11
q+=+4
You have 11 nickels and 4 quarters