SOLUTION: kelly saves all of her dimes and nickels in a jar on her desk. when she counts he money, she finds that she has 107 coins worth a total of $8.65. how many dimes and how many nickel

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: kelly saves all of her dimes and nickels in a jar on her desk. when she counts he money, she finds that she has 107 coins worth a total of $8.65. how many dimes and how many nickel      Log On

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Question 665485: kelly saves all of her dimes and nickels in a jar on her desk. when she counts he money, she finds that she has 107 coins worth a total of $8.65. how many dimes and how many nickels does she have?
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+=+107+
(2) +5n+%2B+10d+=+865+ ( in cents )
---------------------
Multiply both sides of (1) by +5+
and subtract (1) from (2)
(2) +5n+%2B+10d+=+865+
(1) +-5n+-+5d+=+535+
+5d+=+330+
+d+=+66+
and, since
(1) +n+%2B+d+=+107+
(1) +n+%2B+66+=+107+
(1) +n+=+41+
She has 41 nickels and 66 dimes
check:
(2) +5%2A41+%2B+10%2A66+=+865+
(2) +205+%2B+660+=+865+
(2) +865+=+865+
OK