SOLUTION: The coins in the store's cash register total $12.50. The cash register contains only nickels, dimes and quarters. There are twice as many dimes as nickels. There are also twoice

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The coins in the store's cash register total $12.50. The cash register contains only nickels, dimes and quarters. There are twice as many dimes as nickels. There are also twoice       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 187309: The coins in the store's cash register total $12.50. The cash register contains only nickels, dimes and quarters. There are twice as many dimes as nickels. There are also twoice as many quarters as dimes. How many dimes are in the cash register?
Answer by dukesmart(20) About Me  (Show Source):
You can put this solution on YOUR website!
Let put Number of Nickel = N
Number of Dime = D
Number of Quarter= Q
and we know : D= 2N ; Q= 2D
Therefore we can establish the equation as follows:
N*5 + D*10 +Q*25 = 1250 ( notice: $12.50 = 1250 cents)
D/2 *5 + D*10 + 2D*25 =1250
5D + 20D + 100D = 2500 ( result is by multiplying the equation to 2)
125D = 2500
D = 20 dimes