You have a piggy bank containing a total of 84 coins in dimes and quarters. If the piggy bank contains $13.35, how many dimes are there in the piggy bank? There are iew an example dimes in the piggy bank. Textbook ... Clear all Not helpful? See similar books

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
Question
You have a piggy bank containing a total of 84 coins in dimes and quarters. If the piggy bank contains $13.35, how
many dimes are there in the piggy bank?
There are dimes in the piggy bank.
iew an example Textbook
7
Clear all
E Not helpful? See similar books
Transcribed Image Text:You have a piggy bank containing a total of 84 coins in dimes and quarters. If the piggy bank contains $13.35, how many dimes are there in the piggy bank? There are dimes in the piggy bank. iew an example Textbook 7 Clear all E Not helpful? See similar books
Expert Solution
Step 1

Let, 

Number of dimes = x

Number of quarters = y

Total coins = 84

x+y=84

y=84-x ...........(i)

Total amount = $13.35

1 dime =$0.1

 1 quarter = $0.25

So, 

x×0.1+y×0.25=13.35

0.1x+0.25y=13.35

Put y=84-x

0.1x+0.2584-x=13.35

0.1x+21-0.25x=13.35

0.1x-0.25x=13.35-21

0.15x=7.65

x=7.650.15

x=51

Number of dimes = 51

 

steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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