SOLUTION: please post how to solve and post steps used to get there for the following problem. A vending machine contains nickels and dimes worth $14.50. There are 95 more nickels than dimes

Algebra ->  Systems-of-equations -> SOLUTION: please post how to solve and post steps used to get there for the following problem. A vending machine contains nickels and dimes worth $14.50. There are 95 more nickels than dimes      Log On


   



Question 615244: please post how to solve and post steps used to get there for the following problem. A vending machine contains nickels and dimes worth $14.50. There are 95 more nickels than dimes. How many nickels and how many dimes are there?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels
Let +d+ = number of dimes
given:
(1) +5n+%2B+10d+=+1450+
(2) +n+=+d+%2B+95+
----------------
Substitute (2) into (1)
(1) +5%2A%28+d+%2B+95+%29+%2B+10d+=+1450+
(1) +5d+%2B+465+%2B+10d+=+1450+
Solve for d, then n