A collection of nickels, dimes, and quarters consist of 15 coins with a total of $2.00. if the number of dimes is equal to the number of nickels, find the number of each type of coins
Let = number of nickels
Let = number of dimes
Let = number of quarters
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(1)
(2) ( in cents )
(3)
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This is 3 equations and 3 unknowns,
so it's solvable
Substitute (3) into both (1) and (2)
(1)
(2)
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(1)
(2)
multiply both sides of (1) by
and subtract (2) from (1)