A crate contains 300 coins and stamps. The coins cost $3 each and the stamps cost $1.5 each. The tot | MathCelebrity Forum

A crate contains 300 coins and stamps. The coins cost $3 each and the stamps cost $1.5 each. The tot

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A crate contains 300 coins and stamps. The coins cost $3 each and the stamps cost $1.5 each. The total value of the items is $825. How many coins are there?

Let c be the number of coins, and s be the number of stamps. We're given:
  1. c + s = 300
  2. 3c + 1.5s = 825
We have a set of simultaneous equations, or a system of equations. We can solve this 3 ways:
  1. Substitution Method
  2. Elimination Method
  3. Cramers Method
No matter which way we pick, we get:
s = 50
c = 250
 
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