Use a system of linear equations in three variables to solve the following probl
ID: 3113063 • Letter: U
Question
Use a system of linear equations in three variables to solve the following problem. At a college production of a play, 300 tickets were sold The ticket prices were $8, $10, and $12, and the total income from ticket sales was $2700. How many tickets of each type were sold if the combined number of $8 and $10 tickets sold was 5 times the number of $12 tickets sold? Write a system of linear equations using the given information. Choose correct answer below. A. { x + y + z = 2700 8x + 10y + 12z = 300 x + y + 5z = 0 B. { x + y + z = 300 8x + 10y + 12z = 2700 x + y - 5z = 0 C. { x + y + z = 2700 8x + 10y + 12z = 300 x + y - 5z = 0 D. { x + y + z = 300 8x + 10y + 12z = 2700 x + y + 5z = 0Explanation / Answer
answer is option b
x+y+z=300( total tickets) .........1
8x+10y+12z=2700(income)-----------------2
x+y=5z
x+y-5z=0(condition).......................3
solving 1,2,3 equations we get
x=200,y=50,z=50
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.