Question 1124162
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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.
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The description lets you form this data, literally:
<pre>
Quarters               x
Dimes                 2x+3              
Nickels               2x
Pennies                 p
TOTAL COIN COUNT       41
</pre>


Form whatever equations seem best according to that coins description.
Most obviously you SEE IMMEDIATELY {{{x+(2x+3)+2x+p=41}}} which YOU CAN SIMPLIFY.


Accounting for the money and simplifying the coin count makes system
{{{system(55x+p=338,5x+p=38)}}}.


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





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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+10(2x+3)+5*2x+p=368}}}---------AND THEN SIMPLIFY THIS!