A collection of 70 coins consisting of dimes, quarters, and half dollars has a value $17.75. There are three times as many quarters as dimes. Find the number of each kind of coin.

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- Oct 23rd 2006, 11:18 PMNimmyAlgebra coin problem
A collection of 70 coins consisting of dimes, quarters, and half dollars has a value $17.75. There are three times as many quarters as dimes. Find the number of each kind of coin.

- Oct 23rd 2006, 11:44 PMCaptainBlack
Let h, q, and d denote the number of half-dollars, quarters and dimes.

Then what you are told is:

h + q + d = 70,

50*h + 25*q + 10*d = 1775

and:

q = 3*d

Substitute the last of these into the first two which will give you a pair

of simultaneous equations in two variables which you then need to solve.

The attachment shows QuickMath's solution

RonL