SOLUTION: A youth organization collect nickels and dimes for a charity drive. By the end of the one-day drive, the youth had collected $36.25. If there were two times as many dimes as nickel

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Question 497421: A youth organization collect nickels and dimes for a charity drive. By the end of the one-day drive, the youth had collected $36.25. If there were two times as many dimes as nickels, how many of each type of coin was collected.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = number of nickels
Let d = number of dimes
given:
(1) +d+=+2n+
(2) +5n+%2B+10d+=+3625+ (in cents)
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By substitution,
(2) +5n+%2B+10%2A2n+=+3625+
(2) +25n+=+3625+
(2) +n+=+145+
and, since,
(1) +d+=+2n+
(1) +d+=+2%2A145+
(1) +d+=+290+
The number of nickels is 145
The number of dimes is 290
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check:
(2) +5n+%2B+10d+=+3625+
(2) +5%2A145+%2B+10%2A290+=+3625+
(2) +725+%2B+2900+=+3625+
(2) +3625+=+3625+
OK