SOLUTION: I need some help with this word problem, setting it up to solve. Thanks. Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and

Question 143228: I need some help with this word problem, setting it up to solve. Thanks.
Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
Found 2 solutions by vleith, solver91311:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Let d be the number of dimes, n be the number of nickels
Given:
also given:

Solve for d

use elimination and subtract
-----------------------

check your answer. if , then =
Verify using the second equation.

check!

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Number of dimes:
Number of nickels:
Value (in cents) of dimes:
Value (in cents) of nickels:
Value (in cents) of current collection:
Number of dimes in the 'what if' collection:
Number of nickels in the 'what if' collection:
Value (in cents) of the dimes in the 'what if' collection:
Value (in cents) of the nickels in the 'what if' collection:
Value (in cents) of 'what if' collection:

and
=> =>

Now you have 2 equations in 2 variables. Solve for d.

I changed everything from dollars/cents to cents just because I prefer integer coefficients as opposed to decimal fraction coefficients.
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