Ahmad has a jar containing only 5-cent and 20-cent coins. In total there are 31 coins with a total v | MathCelebrity Forum

Ahmad has a jar containing only 5-cent and 20-cent coins. In total there are 31 coins with a total v

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Ahmad has a jar containing only 5-cent and 20-cent coins. In total there are 31 coins with a total value of $3.50. How many of each type of coin does Ahmad have?

Let the number of 5-cent coins be f.
Let the number of 20-cent coins be t.

We're given two equations:
  1. f + t = 31
  2. 0.05f + 0.2t = 3.50
We can solve this simultaneous system of equations 3 ways:
No matter which method we choose, we get:
  • f = 18
  • t = 13
 
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