SOLUTION: What are the algebraic formulas for this (in a collection of nickels, dimes, and quarters, there are twice as many dimes as nickels and 3 fewer quarters than dimes. if the total va

Question 297266: What are the algebraic formulas for this (in a collection of nickels, dimes, and quarters, there are twice as many dimes as nickels and 3 fewer quarters than dimes. if the total value is $4.50 how many of each coin are there)
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
Let = number of quarters
given:

(in cents)
--------------------------
This is 3 equations and 3 unknowns, so it's solvable
By substitutions:

And, substituting again:

and, since

and

There are 14 dimes, 11 quarters, and 7 nickels
check:

OK

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