Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

A collection of coins has a value of 64 cents. There are two more nickels than dimes and three times as many pennies as dimes. How many of each kind of coin are there?

Sagot :

There are 5 nickels, 3 dimes, and 9 pennies.

Let d = The number of dimes

Let n = number of nickels

Let p = The number of pennies

As given, there are two more nickels than dimes and three times as many pennies as dimes:

d+2=n

3d=p

0.10d+0.05n+0.01p=0.64

Plug in the value to find d

[tex]0.10d+0.05(d+2)+0.01(3d)=0.64[/tex]

[tex]0.10d+0.05d+0.1+0.03d=0.64[/tex]

[tex]0.18d=0.64[/tex]

[tex]d=3[/tex]

What is the value of p?

The value of p is equal to 3d

p=3(3)=9

n=d+2

n=3+2

n=5

Hence, there are 5 nickels, 3 dimes, and 9 pennies.

To learn more about the collection visit:

https://brainly.com/question/4219149

#SPJ1

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.