SOLUTION: Jane has nickels and quarters worth $3.05. She has 7 more nickels than quarters. Find the number of each type of coin.

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Question 1089633: Jane has nickels and quarters worth $3.05. She has 7 more nickels than quarters. Find the number of each type of coin.
Found 3 solutions by josmiceli, addingup, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels
Let +q+ = number of quarters
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(1) +5n+%2B+25q+=+305+
(2) +n+=+q+%2B+7+
Plug (2) into (1)
(1) +5%2A%28+q%2B7+%29+%2B+25q+=+305+
(1) +5q+%2B+35+%2B+25q+=+305+
(1) +30q+=+270+
(1) +q+=+9+
------------------------------
and
(2) +n+=+q+%2B+7+
(2) +n+=+9+%2B+7+
(2) +n+=+16+
There are 16 nickels and 9 quarters
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check:
(1) +5n+%2B+25q+=+305+
(1) +5%2A16+%2B+25%2A9+=+305+
(1) +80+%2B+225+=+305+
(1) +305+=+305+
OK

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
q = n-7
0.25q+0.10n = 3.05
0.25(n-7)+0.10n = 3.05
Check your numbers, I think your $3.05 should be $3.15.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Jane has nickels and quarters worth $3.05. She has 7 more nickels than quarters. Find the number of each type of coin. 
Correct answer: 

There's NOTHING WRONG with your numbers, so IGNORE whomever says there is.