SOLUTION: A coin jar contains nickels, dimes, and quarters. There are 66 coins in all. There are 8 more nickels than quarters. The value of the dimes is $3.20 less than the value of the quar
Algebra.Com
Question 1101735: A coin jar contains nickels, dimes, and quarters. There are 66 coins in all. There are 8 more nickels than quarters. The value of the dimes is $3.20 less than the value of the quarters. How many quarters are in the jar?
Found 4 solutions by stanbon, ikleyn, greenestamps, richwmiller:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A coin jar contains nickels, dimes, and quarters. There are 66 coins in all. There are 8 more nickels than quarters. The value of the dimes is $3.20 less than the value of the quarters. How many quarters are in the jar?
-----------------
Quantity Eq:: n + d + q = 66 coins
Quantity Eq:: n = q + 8
Value Eq::::: 10d = 25q - 320
-------------------------------------
Rearrange::
q+8 + (2.5q-32) + q = 66
-------------------------------
4.5q = 98
--------------
Comment:: Please check your posting. q does not appear to be a whole number.
But, it must be.
==============
Cheers,
Stan H.
---------------
Answer by ikleyn(52878) (Show Source): You can put this solution on YOUR website!
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!
The first tutor had an error in his algebra; the second tutor didn't read the problem correctly. There is a solution to your problem.
Let the number of quarters be q;
then the number of nickels is q+8.
Then, since the total number of coins is 66, the number of dimes is
We are told the value of the dimes is $3.20 less than the value of the quarters. Writing the equation in cents instead of dollars:
The number of quarters is 20; so the number of nickels is 28; so the number of dimes is 18.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Stan's
q+8 + (2.5q-32) + q = 66
4.5q = 98 should be
4.5q = 90
q=20
RELATED QUESTIONS
a jar contains $8.75 in nickels, dimes, and quarters. If there are two times as many... (answered by CubeyThePenguin)
A jar contains nickels, dimes, and quarters. There are 105 coins with a total
value of... (answered by josmiceli)
A coin jar contains nickels, dimes and quarters. There are 46 coins in all. There are... (answered by rwm)
A coin jar contains nickels, dimes, and quarters.
There are 47 coins in all.
There... (answered by josgarithmetic,addingup)
A coin collection contains nickels, dimes, and quarters. There are twice as many dimes as (answered by ikleyn)
a coin collection contains nickels dimes quarters there are twice as many dimes as... (answered by dabanfield@earthlink.net)
A child's piggy bank contains nickels, dimes, and quarters. There are twice as many... (answered by jorel1380)
A coin bank contains nickels, dimes, and quarters totaling $5.45. If there are twice as... (answered by mathmaven53)
cody's bank contains $4.30 in nickels, dimes and quarters there are 38 coins in all, with (answered by stanbon)