SOLUTION: Sonja has some nickels and dimes. If she has 30 coins worth a total of $2.00, how many of each type of coin does she have?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Sonja has some nickels and dimes. If she has 30 coins worth a total of $2.00, how many of each type of coin does she have?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1152423: Sonja has some nickels and dimes. If she has 30 coins worth a total of $2.00, how many of each type of coin does she have?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


n + d = 30

5n + 10d = 200  (cents)



Substituting for n:

5(30-d) + 10d = 200

150-5d + 10d = 200

5d = 50

d=10 ==>  n=20



----

Ans: Sonja has 10 dimes and 20 nickels

----

Check: 10*10+20*5 = 100+100 = 200 (=$2.00)  (ok)