SOLUTION: theres a collection of nickels and quarters worth $4.65. theres 3 more nickels then quarters. how many coins are there??

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Question 62352: theres a collection of nickels and quarters worth $4.65. theres 3 more nickels then quarters. how many coins are there??
Answer by joyofmath(189) About Me  (Show Source):
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theres a collection of nickels and quarters worth $4.65. theres 3 more nickels then quarters. how many coins are there??
There are 3 more nickels than quarters so N=Q%2B3.
The total value = 465 so 25Q%2B5N+=+465.
So, 25Q%2B5%28Q%2B3%29+=+465.
Or, 25Q%2B5Q%2B15+=+465.
Or, 30Q+=+450.
So, Q=15.
There are 3 more nickels than quarters so N=18.
Verification: 15 quarters + 18 nickels = 15%2A25%2B18%2A5+=+375%2B90+=+465.