A restaurant had a seating capacity of 144 people. The restaurant had a total of 26 tables in their dining room. Some of the tables were large that seated 8 people and the rest were smaller tables that seated 4 people. If the restaurant was filled to capacity, then how many large tables and how many smaller tables are in the dining room? 4. Let x represent the number of large tables and let y represent the number of smaller tables. Write a system of linear equations. A) x+y=144 8x+4y=26 B) x+y=26 4x+8y=144 C) x+y=26 8x+4y=144 5. How many large tables are in the restaurant's dining room? A) 10 B) 12 C) 13 D) 14 6. How many smaller tables are in the restaurant's dining room? A) 10 B) 12 C) 13 D) 14 E) 16 E) 16 D) x+y=144 4x+8y=26

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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,...
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A restaurant had a seating capacity of 144 people. The restaurant had a total of 26 tables in
their dining room. Some of the tables were large that seated 8 people and the rest were smaller
tables that seated 4 people. If the restaurant was filled to capacity, then how many large tables
and how many smaller tables are in the dining room?
4. Let x represent the number of large tables and let y represent the number of smaller tables.
Write a system of linear equations.
A)
x+y=144
8x+4y=26
B)
x+y=26
4x+8y=144
5. How many large tables are in the restaurant's dining room?
A) 10
B) 12
C) 13
D) 14
A)
6. How many smaller tables are in the restaurant's dining room?
A) 10
B) 12
C) 13
D) 14
x+y = 33
7x+3y=183
C)
x+y=26
8x+4y=144
B)
B) 12
A high school football team scored a total of 183 points over the season by making a total of 33
field goals and touchdowns. Each field goal was worth 3 points and each touchdown was worth
7 points. Find the number of field goals and touchdowns the team made during the season.
x+y = 33
3x+7y=183
7. Let x represent the number of field goals made during the season and let y represent the
number of touchdowns made during the season. Write a system of linear equations.
E) 16
C)
E) 16
8. How many field goals did the team have during the season?
A) 9
B) 12
C) 15
D) 18
x+y=183
3x + 7y=33
9. How many touchdowns did the team have during the season?
A) 9
C) 15
D) 18
D)
E) 21
x+y=144
4x+8y=26
E) 21
D)
x+y=183
7x+3y=33
AB) 24
AB) 24
Transcribed Image Text:A restaurant had a seating capacity of 144 people. The restaurant had a total of 26 tables in their dining room. Some of the tables were large that seated 8 people and the rest were smaller tables that seated 4 people. If the restaurant was filled to capacity, then how many large tables and how many smaller tables are in the dining room? 4. Let x represent the number of large tables and let y represent the number of smaller tables. Write a system of linear equations. A) x+y=144 8x+4y=26 B) x+y=26 4x+8y=144 5. How many large tables are in the restaurant's dining room? A) 10 B) 12 C) 13 D) 14 A) 6. How many smaller tables are in the restaurant's dining room? A) 10 B) 12 C) 13 D) 14 x+y = 33 7x+3y=183 C) x+y=26 8x+4y=144 B) B) 12 A high school football team scored a total of 183 points over the season by making a total of 33 field goals and touchdowns. Each field goal was worth 3 points and each touchdown was worth 7 points. Find the number of field goals and touchdowns the team made during the season. x+y = 33 3x+7y=183 7. Let x represent the number of field goals made during the season and let y represent the number of touchdowns made during the season. Write a system of linear equations. E) 16 C) E) 16 8. How many field goals did the team have during the season? A) 9 B) 12 C) 15 D) 18 x+y=183 3x + 7y=33 9. How many touchdowns did the team have during the season? A) 9 C) 15 D) 18 D) E) 21 x+y=144 4x+8y=26 E) 21 D) x+y=183 7x+3y=33 AB) 24 AB) 24
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