SOLUTION: Shea has 5 times as many dimes as she does quarters. Combined the dimes and quarters total $9.75. How many quarters does she have?

Question 522384: Shea has 5 times as many dimes as she does quarters. Combined the dimes and quarters total $9.75. How many quarters does she have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Shea has 5 times as many dimes as she does quarters. Combined the dimes and quarters total $9.75. How many quarters does she have?
----
Equations:
d = 5q
10d + 25q = 975 cents
----
Substitute for "d" and solve for "q":
10*5q + 25q = 975
75q = 975
q = 13 (# of quarters)
-----
Solve for "q":
d = 5q
d = 5*13 = 65 (# of dimes)
==============================
Cheers,
Stan H.
============
RELATED QUESTIONS
Shea has 5 times as many dimes as she does quarters, 6 pennies, and a twenty dollar bill. (answered by checkley79)

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

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

Jane has some nickels, dimes, and quarters that total 1.90. She has twice as many... (answered by Fombitz)

Andria has $16 worth of quarters and dimes. If Andria has 2 1/2 times as many dimes as... (answered by Shin123,MathTherapy)

Jon has three times as many dimes as he does quarters. He has as many nickels as he has... (answered by orca)

A club treasurer has $28.45 consisting of nickles, dimes, and quarters. She has 9 more... (answered by stanbon)

Kelly had two times as many quarters as dimes she has 18 quarters how many dimes does she (answered by josgarithmetic)

Rachel has $10.80 in dimes and quarters. She has twice as many quarters as dimes. How... (answered by Alan3354)