SOLUTION: Currency The United States Code specifies that dimes weigh 2.268 grams each and nickels weigh 5 grams each. The approximate weight of 425 dimes and nickels is 1483 grams. a. How

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Currency The United States Code specifies that dimes weigh 2.268 grams each and nickels weigh 5 grams each. The approximate weight of 425 dimes and nickels is 1483 grams. a. How      Log On

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Question 825104: Currency The United States Code specifies that dimes weigh 2.268 grams each and
nickels weigh 5 grams each. The approximate weight of 425 dimes and nickels is
1483 grams.
a. How many of each coin are there?
b. What is the total value of the coins?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This is just like a two part mixture problem. The concentration, instead of percent, is grams per coin. All of the variables work the same way. You can study my two-part mixture lesson linked in my profile.

H = 5 grams per coin for nickels
T = 1483/425 grams per coin, the current combination of coins, dimes and nickels
L = 2.268 grams per coin for dimes
M = 425 how many coins
u = how many dimes
v = how many nickels

Two equations to make from this are:
%28Lu%2BHv%29%2FM=T and u%2Bv=M
Solve for u and v.