Katie had 21 nickels, dimes and quarters worth $2.25. If she had twice as many nickels as quarters, how many of each type of coin did Katie have?

Question

Katie had 21 nickels, dimes and quarters worth $2.25. If she had twice as many nickels as quarters, how many of each type of coin did Katie have?
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Solution 1

Sure, let's solve this step by step.

Let's denote: N = number of nickels Katie has D = number of dimes Katie has Q = number of quarters Katie has

From the problem, we know that:

  1. N + D + Q = 21 (total number of coins)
  2. N = 2Q (twice as many nickels as quarters)
  3. 0.05N + 0.10D + 0.25Q = 2.25 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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