SOLUTION: Tom has a collection of 40 coins. He has 5 more dimes than pennies and twice as many dimes as nickels. Write a system of equations and find the number of each coin.

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Question 1111457: Tom has a collection of 40 coins. He has 5 more dimes than pennies and twice as many dimes as nickels. Write a system of equations and find the number of each coin.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
What if I want to solve the problem using only ONE equation, and not the system ?


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N o t i c e:   The correct way to solve it is not using a system.

It is using a  SINGLE  equation.

But you can make your life  as complicated as you want:   it is YOUR   RIGHT.


Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
p, n, d
Pennies, nickels, dimes

System: system%28p%2Bn%2Bd=40%2Cd-p=5%2Cd%2Fn=2%29

Single equation in ONE variable: highlight_green%28%28d-5%29%2Bd%2F2%2Bd=40%29

highlight_green%282d-10%2Bd%2B2d=80%29
5d=90
highlight_green%28d=18%29----------use this to find n and p.