Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
Bartleby Related Questions Icon

Related questions

bartleby

Concept explainers

Topic Video
Question

Help

Marco has been saving his loose change for the past month. When Marco took his
change to the bank, he received $11.42. He knows he had 83 coins in all. There were 18
nickels, 7 pennies, and the rest were quarters and dimes. To find out the number of
quarters he had, Marco set up and solved the system of equations shown below.
T+y=58
0.10x + 0.25y = 10.45
How many quarters did Marco have?
O 10
O 25
O 31
O 27
Chp
expand button
Transcribed Image Text:Marco has been saving his loose change for the past month. When Marco took his change to the bank, he received $11.42. He knows he had 83 coins in all. There were 18 nickels, 7 pennies, and the rest were quarters and dimes. To find out the number of quarters he had, Marco set up and solved the system of equations shown below. T+y=58 0.10x + 0.25y = 10.45 How many quarters did Marco have? O 10 O 25 O 31 O 27 Chp
Expert Solution
Check Mark
Step 1

Given:

The system of equation is 

x+y=580.10x+0.25y=10.45

Solution:

it can be observed that  x is dimes and y is quarters because in second equation 0.25 is multiplied with y and 1 quarters worth 25 cents.

The value of y can be obtained from equation x+y=58 is

y=58-x

Substitute y=58-x in 0.10x+0.25y=10.45 to obtain x as,

0.10x+0.2558-x=10.450.10x+14.5-0.25x=10.45-0.15x=-4.05x=27

Knowledge Booster
Background pattern image
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.
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education