SOLUTION: Diana has been saving nickels and dimes. She opened up her piggy bank and determined that it contained 48 coins worth $4.50. Determine how many nickels and dimes were in the pi

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Diana has been saving nickels and dimes. She opened up her piggy bank and determined that it contained 48 coins worth $4.50. Determine how many nickels and dimes were in the pi      Log On

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Question 705935: Diana has been saving nickels and
dimes. She opened up her piggy bank and determined
that it contained 48 coins worth $4.50. Determine
how many nickels and dimes were in the piggy bank.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels she has
Let +d+ = number of dimes she has
given:
(1) +n+%2B+d+=+48+
(2) +5n+%2B+10d+=+450+ ( in cents )
---------------------
Multiply both sides of (1) by +5+
and subtract (1) from (2)
(2) +5n+%2B+10d+=+450+
(1) +-5n+-+5d+=+-240+
+5d+=+210+
+d+=+42+
and, since
(1) +n+%2B+d+=+48+
(1) +n+%2B+42+=+48+
(1) +n+=+6+
The number of nickels she has is 6
The number of dimes she has is 42
check answer:
(2) +5%2A6+%2B+10%2A42+=+450+
(2) +30+%2B+420+=+450+
(2) +450+=+450+
OK