SOLUTION: Diana has twice as many dimes as nickels. If each nickel is replaced by a quarter, she gains $2.40. How much money in total did she begin with?

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Question 1052233: Diana has twice as many dimes as nickels. If each nickel is replaced by a quarter, she gains $2.40. How much money in total did she begin with?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
d dimes
n nickels
s original STARTING amount of money in dollar units


system%28d%2Fn=2%2C0.1d%2B0.05n=s%2C0.1d%2B0.25n-%280.1d%2B0.05n%29=2.40%29
Recheck this with the description and assigned variables. Does this make sense for you? If yes, then simplify and continue to solve. Notice only used d and n for dimes and nickels, and another variable for how many QUARTERS was not used; because reference was described for relating quarters to nickels as the same coin count.

system%28d=2n%2C0.2n=2.40%29

system%28d=2n%2C2n=24%29------Notice that the equation using s was no longer needed.


system%28n=12%2C+d=24%29