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Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.4: Solve Applications With Systems Of Equations
Problem 5.75TI: Translate to a system of equations and then solve: Mark went to the gym and did 40 minutes of Bikram...
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Use a system of linear equations in three variables to solve the following problem.
At a college production of a play, 560 tickets were sold. The ticket prices were $8, $10,
and $12, and the total income from ticket sales was $5320. How many tickets of each
type were sold if the combined number of $8 and $10 tickets sold was 7 times the
number of $12 tickets sold?
Write a system of linear equations using the given information. Choose correct answer
below.
x +y +z = 560
O A.
x +y+ 7z = 0
x+y+z = 5320
8x + 10y + 12z = 5320
O B.
8x + 10y + 12z = 560
x+y-7z = 0
x+y +z = 5320
OD.
x+y+z= 560
O C.
8x + 10y + 12z = 5320
8x + 10y + 12z = 560
%3D
x+y-7z = 0
x +y +7z = 0
Transcribed Image Text:Use a system of linear equations in three variables to solve the following problem. At a college production of a play, 560 tickets were sold. The ticket prices were $8, $10, and $12, and the total income from ticket sales was $5320. How many tickets of each type were sold if the combined number of $8 and $10 tickets sold was 7 times the number of $12 tickets sold? Write a system of linear equations using the given information. Choose correct answer below. x +y +z = 560 O A. x +y+ 7z = 0 x+y+z = 5320 8x + 10y + 12z = 5320 O B. 8x + 10y + 12z = 560 x+y-7z = 0 x+y +z = 5320 OD. x+y+z= 560 O C. 8x + 10y + 12z = 5320 8x + 10y + 12z = 560 %3D x+y-7z = 0 x +y +7z = 0
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