Four families decided to go watch a movie on a Friday evening. The Rahmans (R) have 5 family members, the Khans (K) have 3, Sarkars (S) 2, and the Hasans (H) 2. They buy a movie-ticket for each member. During the intermission, R goes to the concession-stand and buys 5 large popcorns. K buys 2. S and the H buy 1 and 0 respectively. Once the movie ends, the families go to an ice-cream parlour nearby. R orders 4 scoops of ice-cream and 2 coffees. K orders 2 scoops of ice-cream and 3 coffees. S orders 4 scoops of ice-cream and 2 coffees. H orders 1 scoops of ice-creams and 2 coffees. At the end of the night, the total expenditure of the families are as follows: The Rahmans have spent Tk. 5064; the Khans have spent Tk. 2896; the Sarkars have spent Tk. 2889; and the Hasans have spent Tk. 1518. Using the information above, convert the Friday night expenditures of the four families into a system of linear equations. Convert this system of equations into the matrix form. What is the determinant of the coefficient matrix?   unanswered      What is the price of a movie ticket?  unanswered      What is the price of a pop-corn?  unanswered      What is the price of a scoop of ice-cream?  unanswered      What is the price of a cup of coffee?  unanswered      Submit You have used 0 of 1 attemptSome problems have options such as save, reset, hints, or show answer. These options follow the Submit button. SaveSave Your Answer 2 4.0 points possible (graded, results hidden) Suppose next week (week 2), the four families go to the movies again. But this time, two things are different: i. the concession-stand is not open and the families cannot buy the pop-corns and ii. the price of the other goods have changed from what it was last week. If I give you the information about which family bought how much of each good, and what their total expenditure is, will it be possible to calculate the price of a movie-ticket, a scoop to ice-cream, and a cup of coffee?       Select an option            Yes, price of all three goods can be calculated            No, none of the prices can be calculated            No, only some of the prices can be calculated            Not enough information is given       unanswered     Suppose next week (week 3), only three of the families go to the movies. This time, the concession-stand is open and the three families once again buy movie-tickets, pop-corns, ice-creams, and coffees. However, the price of goods have changed again. If I gave you the information about which family buys how much of each good, and what their total expenditure is, will it be possible to calculate the price of the four goods?       Select an option            Yes, price of all four goods can be calculated            No, none of the prices can be calculated            No, only some of the prices can be calculated            Not enough information is given       unanswered

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 65SE: The top three countries in oil consumption in a certain year are as follows: the United States,...
icon
Related questions
icon
Concept explainers
Topic Video
Question

Four families decided to go watch a movie on a Friday evening. The Rahmans (R) have 5 family members, the Khans (K) have 3, Sarkars (S) 2, and the Hasans (H) 2.

They buy a movie-ticket for each member. During the intermission, R goes to the concession-stand and buys 5 large popcorns. K buys 2. S and the H buy 1 and 0 respectively. Once the movie ends, the families go to an ice-cream parlour nearby. R orders 4 scoops of ice-cream and 2 coffees. K orders 2 scoops of ice-cream and 3 coffees. S orders 4 scoops of ice-cream and 2 coffees. H orders 1 scoops of ice-creams and 2 coffees.

At the end of the night, the total expenditure of the families are as follows: The Rahmans have spent Tk. 5064; the Khans have spent Tk. 2896; the Sarkars have spent Tk. 2889; and the Hasans have spent Tk. 1518.

Using the information above, convert the Friday night expenditures of the four families into a system of linear equations. Convert this system of equations into the matrix form.

What is the determinant of the coefficient matrix?

  unanswered 

 

 
What is the price of a movie ticket?  unanswered 

 

 
What is the price of a pop-corn?  unanswered 

 

 
What is the price of a scoop of ice-cream?  unanswered 

 

 
What is the price of a cup of coffee?  unanswered 

 

 
Submit
You have used 0 of 1 attemptSome problems have options such as save, reset, hints, or show answer. These options follow the Submit button.
SaveSave Your Answer

2

4.0 points possible (graded, results hidden)
Suppose next week (week 2), the four families go to the movies again. But this time, two things are different: i. the concession-stand is not open and the families cannot buy the pop-corns and ii. the price of the other goods have changed from what it was last week. If I give you the information about which family bought how much of each good, and what their total expenditure is, will it be possible to calculate the price of a movie-ticket, a scoop to ice-cream, and a cup of coffee?       Select an option            Yes, price of all three goods can be calculated            No, none of the prices can be calculated            No, only some of the prices can be calculated            Not enough information is given      
unanswered
 

 

Suppose next week (week 3), only three of the families go to the movies. This time, the concession-stand is open and the three families once again buy movie-tickets, pop-corns, ice-creams, and coffees. However, the price of goods have changed again. If I gave you the information about which family buys how much of each good, and what their total expenditure is, will it be possible to calculate the price of the four goods?       Select an option            Yes, price of all four goods can be calculated            No, none of the prices can be calculated            No, only some of the prices can be calculated            Not enough information is given      
unanswered
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 6 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, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL