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 O 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?

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 O 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?

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Description: 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 theHasans (H) 2.They buy a movie-ticket for each member. During the intermission, R goes to the concession

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 O 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?

What is the price of a movie ticket?
What is the price of a pop-corn?
What is the price of a scoop of ice-cream?
What is the price of a cup of coffee?

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