SOLUTION: Sally has twice as many dimes as nickels. Altogether she has $2.00. How many dimes does she have and how many nickels does she have?

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Question 615968: Sally has twice as many dimes as nickels. Altogether she has $2.00. How many dimes does she have 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
Let d = number of dimes
(1) +5n+%2B+10d+=+200+ ( in cents )
(2) +d+=+2n+
Substitute (2) into (1)
(1) +5n+%2B+10%2A2n+=+200+
(1) +25n+=+200+
(1) +n+=+8+
and, since
(2) +d+=+2n+
(2) +d+=+16+
She has 8 nickels and 16 dimes
check:
(1) +5n+%2B+10d+=+200+
(1) +5%2A8+%2B+10%2A16+=+200+
(1) +40+%2B+160+=+200+
(1) +200+=+200+
OK