18. Adrian, Nathan, and Brian bought lunch from the concession stand. Adria and a drink; Nathan paid $4.00 for a burger and a drink; and Brian paid $- a. Write three equations modeling the cost of their lunches using b, f, and burger, fries, and a drink.

Intermediate Algebra
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ISBN:9780998625720
Author:Lynn Marecek
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Chapter4: Systems Of Linear Equations
Section4.2: Solve Applications With Systems Of Equations
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How do you do 18? The math lesson is linear systems in three variables
18. Adrian, Nathan, and Brian bought lunch from the concession stand. Adrian paid $5.50 for a burger, mes,
and a drink; Nathan paid $4.00 for a burger and a drink; and Brian paid $4.25 for a burger and fries.
a. Write three equations modeling the cost of their lunches using b, f, and d to represent the cost of a
burger, fries, and a drink.
b. Solve the system of equations to determine the cost of each food item.
19. Larry has a total of 24 nickels, dimes, and quarters whose total value is $3. The number of nickels equals
the sum of the number of dimes and quarters.
a. Write three equations modeling the total number of coins, the value of the coins, and the relationship
between the number of nickels and other coins.
b. Solve the system of equations to determine how many of each coin Larry has.
B. Exercises
Solve each system.
20. x + 2y + z = 8
y-3z = 9
21. 2x + 3y – z = 5
2y + 5z = 11
z =-2
Transcribed Image Text:18. Adrian, Nathan, and Brian bought lunch from the concession stand. Adrian paid $5.50 for a burger, mes, and a drink; Nathan paid $4.00 for a burger and a drink; and Brian paid $4.25 for a burger and fries. a. Write three equations modeling the cost of their lunches using b, f, and d to represent the cost of a burger, fries, and a drink. b. Solve the system of equations to determine the cost of each food item. 19. Larry has a total of 24 nickels, dimes, and quarters whose total value is $3. The number of nickels equals the sum of the number of dimes and quarters. a. Write three equations modeling the total number of coins, the value of the coins, and the relationship between the number of nickels and other coins. b. Solve the system of equations to determine how many of each coin Larry has. B. Exercises Solve each system. 20. x + 2y + z = 8 y-3z = 9 21. 2x + 3y – z = 5 2y + 5z = 11 z =-2
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