SOLUTION: If I have 41 coins totaling $3.68 what are the coins if I have half as many quarters as nickels and three more dimes than nickels? The rest are pennies.

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: If I have 41 coins totaling $3.68 what are the coins if I have half as many quarters as nickels and three more dimes than nickels? The rest are pennies.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1124162: If I have 41 coins totaling $3.68 what are the coins if I have half as many quarters as nickels and three more dimes than nickels? The rest are pennies.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
---
If I have 41 coins totaling $3.68 what are the coins if I have half as many quarters as nickels and three more dimes than nickels? The rest are pennies.
---
The description lets you form this data, literally:
Quarters               x
Dimes                 2x+3              
Nickels               2x
Pennies                 p
TOTAL COIN COUNT       41


Form whatever equations seem best according to that coins description.
Most obviously you SEE IMMEDIATELY x%2B%282x%2B3%29%2B2x%2Bp=41 which YOU CAN SIMPLIFY.

Accounting for the money and simplifying the coin count makes system
system%2855x%2Bp=338%2C5x%2Bp=38%29.

JUST SOLVE THAT SYSTEM OF EQUATIONS, AND USE THE RESULTS TO FIND THE NUMBER OF EACH COIN.




------
MONEY ACCOUNT
You know how to account for a quantity of money in dollars.
1 dollar is 100 cents;
100 pennies is 100 cents is 1 dollar;
25 cents is 1 quarter
10 cents is 1 dime
START WITH THIS: 25x%2B10%282x%2B3%29%2B5%2A2x%2Bp=368---------AND THEN SIMPLIFY THIS!