Math

Ask a Math Question, Get an Answer ASAP!

Have your own Math question?

5 Math Tutors are Online Now

characters left:

Not a Math Question?

Question

Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickels but three times as many quarters as dimes. The total value of the coins was $11.40. how many coins of each type did Sam find?

Submitted: 227 days and 20 hours ago.

Category: Math

Value: $9

Status: AWAITING CUSTOMER ACTION

Level: 3; Subject: college math

Already Tried:
Just do not know how to translate into a algebraic problem

Accepted Answer

Hi there!

The number of nickels is "x".
The dimes are 6 + x.
The quarters are 3(6+x) = 18 + 3x

Add up the values:
0.05x + 0.1(6+x) + 0.25*3(6+x) = 11.4

Simplify:
0.05x + 0.6 + 0.1x + 4.5 + 0.75x = 11.4

Combine terms:
0.9x + 5.1 = 11.4

Subtract 5.1:
0.9x = 6.3

Divide by 0.9:
x = 7

Now get the others:
x+6 = 13
3(x+6) = 39

So:
7 nickels, 13 dimes, 39 quarters

Let me know if you have any questions, and if you're all set, thanks for accepting,
Scott

Accepts:
Expert:	Scott
Pos. Feedback:	100.0 %
Answered:	4/8/2009

MIT Graduate

College degree in math... proficient in all levels -- from algebra to calculus

227 days and 20 hours ago.

Reply

Thanks Scott

Posted by Scott 227 days and 20 hours ago.

Info Request

You're welcome!
-Scott

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.