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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:
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 which YOU CAN SIMPLIFY.
Accounting for the money and simplifying the coin count makes system
.
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: ---------AND THEN SIMPLIFY THIS!