In counting the money collected on his paper route Frank finds that he has 3 more dimes than nickles and 3 less dimes than quarters. If his total collections amounted to $13.40, how many coins of each kind did he have?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
icon
Concept explainers
Topic Video
Question

In counting the money collected on his paper route Frank finds that he has 3 more dimes than nickles and 3 less dimes than quarters. If his total collections amounted to $13.40, how many coins of each kind did he have?

Expert Solution
Step 1

There are 3 more dimes than nickels and 3 less dimes than quarters. The total collection amounts to $13.40.

Let the number of dimes be D, the number of nickels be N and the number of quarters be
Q.
According to given, 3 more dimes than nickel means the number ofnickels are 3 less
than the number of dimes. That is, N = D -3
Three less dimes than quarters means the number of quarters are 3 more than the number
of dimes. That is, Q D+3
Step 2

The total collection is $13.40, that is

5N 10D 25Q= $13.40
Step 3

As 1 nickel is 5 cents, 1 dime is 10 cents, 1 quarter is 25 cents and 1 $ is 100 cents, the collection equation becomes

5N 10D 25Q=1340
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education