Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.