SOLUTION: Ed has a group of quarters and dimes whose value is at most $4.05. He has 5 times as many quarters as dimes. At most, how many quarters does he have?

Question 986834: Ed has a group of quarters and dimes whose value is at most $4.05. He has 5 times as many quarters as dimes. At most, how many quarters does he have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Ed has a group of quarters and dimes whose value is at most $4.05. He has 5 times as many quarters as dimes. At most, how many quarters does he have?
-----
Value:: 10d + 25q <= 405 cents
Quantity: q = 5d
-------
Substitute for "q" and solve for "d":
10d + 25*5d <= 405
----
135d <= 405
dimes <= 3
----
q = 5d
quarters <= 15
---------------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
EASY! HELP! Maria has a group of nickels and quarters whose value is at most $7.00. She... (answered by Alan3354)

james has a bunch of quarters and dimes whose value is 4.05. he has five times as many... (answered by TimothyLamb)

A jar contains quarters and dimes whose value totals $4.40. It has three times as many... (answered by nerdybill)

A man has a collection of nickels, dimes, and quarter whose values is $6.55. He has 3... (answered by lwsshak3)

A girl has a collection of dimes and quarters. She has 4 times as many quarters as dimes. (answered by jorel1380,ikleyn)

Mr t has a pocket full of quarters and dimes. He has six times as many quarters as he... (answered by drk)

Bob has saved quarters, dimes and pennies. He has 7 times as many quarters as dimes, and... (answered by math_helper)

If Zaire has 4 times as many quarters as dimes and they have a combined value of $4.40,... (answered by ikleyn,MathLover1,Edwin McCravy,josgarithmetic)

Benny the carphop has 2 times as many dimes as quarters. If Benny has 41.85 dollars worth (answered by stanbon)