SOLUTION: kevin and randy have a jar containing 69 coins all of which are either quarters or nickels the total value of the coins is $9.25 how many of each type of coin is there ?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: kevin and randy have a jar containing 69 coins all of which are either quarters or nickels the total value of the coins is $9.25 how many of each type of coin is there ?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1130944: kevin and randy have a jar containing 69 coins all of which are either quarters or nickels the total value of the coins is $9.25 how many of each type of coin is there ?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
system%28q%2Bn=69%2C25q%2B5n=925%29

system%28q%2Bn=69%2C5q%2Bn=185%29

Eliminate n, to quickly find q.


.

------

29 quarters
40 nickels

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Here is a quick way to solve this kind of problem if a formal algebraic solution is not required.

(1) If all 69 coins were quarters, the value would be $3.45. The actual value is $9.25, which is $5.80 more than $3.45.
(2) Exchanging a nickel for a quarter keeps the number of coins at 69 but increases the total value by 20 cents.
(3) The number of nickels that need to be exchanged for quarters to make the additional $5.80 is $5.80/$0.20 = 29.

So there are 29 quarters, which leaves 69-29 = 40 nickels.