Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

a collection of coins consist of nickels, dimes, and quarters. there are 3 fewer quarters than nickels and six more dimes than quarters. how many of each kind of coin is in the collection if the total value of the collection is $4.35?

Sagot :

There are 12 Nickels, 9 Quarters, and 15 Dimes.
fichoh

Using a system of equations, there are 9, 12 and 15 quarters, nickels and dimes respectively.

Creating a system of equations thus :

  • n + d + q = 36 - - - (1)
  • n = q + 3 - - - (2).
  • d = q + 6 - - - (3)

Substitute for n and q

(q+3) + (q+6) + q = 36

3q + 9 = 36

3q = 36 - 9

q = 27 ÷ 3

q = 9 quarters

n = 9 + 3 = 12 nickels

d = 9 + 6 = 15 dimes

Hence, there are 9, 12 and 15 quarters, nickels and dimes respectively.

Learn more : https://brainly.com/question/25629067

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.