Jason has an equal number of nickels and dimes. The total value of his nickels and dimes is $2.25. H | MathCelebrity Forum

Jason has an equal number of nickels and dimes. The total value of his nickels and dimes is $2.25. H

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Jason has an equal number of nickels and dimes. The total value of his nickels and dimes is $2.25. How many nickels does Jason have?

Let the number of nickels be n
Let the number of dimes be d

We're given two equations:
  1. d = n
  2. 0.05n + 0.1d = 2.25
Substitute equation (1) for d into equation (2):
0.05n + 0.1n = 2.25

Solve for n in the equation 0.05n + 0.1n = 2.25

Step 1: Group the n terms on the left hand side:
(0.05 + 0.1)n = 0.15n

Step 2: Form modified equation
0.15n = + 2.25

Step 3: Divide each side of the equation by 0.15
0.15n/0.15 = 2.25/0.15
n = 15

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