Mathematics, 20.12.2019 22:31 kendrickstoudemire20

For the high school's production of "grease," 490 tickets were sold. the cost of a student
ticket was $8, a pre-sale non-student ticket was $10, and a ticket at the door cost $12. the
total income from ticket sales was $4600. the combined number of student and pre-sale
tickets was 6 times more than the tickets sold at the door. which system of equations could
be used to determine the number of each type of ticket sold? (teks a2.3a-s)

Answers: 1

Show answers

Answers

Answer from: 18jweeks9

The system of equations could be used to determine the number of each type of ticket sold is:

s + p + t = 490

8s + 10p + 12t = 4600

s + p = 6t

Number of each type of ticket sold is:

number of student tickets sold = 220

number of pre-sale non student ticket sold = 200

number of ticket sold at door = 70

Solution:

Let "s" be the number of student tickets sold

Let "p" be the number of pre-sale non student ticket sold

Let "t" be the number of ticket sold at door

Cost of 1 student ticket = $ 8

Cost of 1 pre-sale non student ticket = $ 10

Cost of 1 ticket sold at door = $ 12

From given information,

490 tickets were sold. So we can frame a equation as:

number of student tickets sold + number of pre-sale non student ticket sold + number of ticket sold at door = 490

s + p + t = 490 ---------- eqn 1

Also given that, The total income from ticket sales was $4600

So we can frame a equation as:

number of student tickets sold x Cost of 1 student ticket + number of pre-sale non student ticket sold x Cost of 1 pre-sale non student ticket + number of ticket sold at door x Cost of 1 ticket sold at door = $ 4600

$s \times 8 + p \times 10 + t \times 12 = 4600$

8s + 10p + 12t = 4600 ------ eqn 2

The combined number of student and pre-sale tickets was 6 times more than the tickets sold at the door

s + p = 6t --------- eqn 3

So eqn 1 eqn 2 and eqn 3 could be used to determine the number of each type of ticket sold

Let us solve eqn 1, eqn 2, eqn 3 to find values of "s" "p" and "t"

Substitute eqn 3 in eqn 1

6t + t = 490

7t = 490

t = 70

Substitute t = 70 in eqn 2

8s + 10p + 12(70) = 4600

8s + 10p = 3760 ----- eqn 4

Substitute t = 70 in eqn 3

s + p = 6(70)

s + p = 420 ----- eqn 5

Multiply eqn 5 by 8

8s + 8p = 3360 ----- eqn 6

Subtract eqn 6 from eqn 4

8s + 10p = 3760

8s + 8p = 3360

(-) ---------------------

2p = 400

p = 200

Substitute p = 200 in eqn 5

s + 200 = 420

s = 220

Summarizing the results:

number of student tickets sold = 220

number of pre-sale non student ticket sold = 200

number of ticket sold at door = 70

Answer from: Quest

221,500 is the answer

Answer from: Quest

nswer: a y-axis

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:40

What is the perimeter of trapezoid jklm? + units 2 + + units 9 + units 9 + + units

Answers: 2

Answer

Mathematics, 21.06.2019 17:00

Cameron indoor stadium at duke university is one of the most revered sites in all of college basketball, as well as in all of sports period. duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. cameron indoor stadium is capable of seating 9,460 people. for each game, the amount of money that the duke blue devils’ athletic program brings in as revenue is a function of the number of people in attendance. if each ticket costs $45.50, find the domain and range of this function.

Answers: 1

Answer

Mathematics, 21.06.2019 20:10

Which is f(5) for the function –2x2 + 2x - 3?

Answers: 1

Answer

Mathematics, 21.06.2019 21:10

Consider circle o, where and . m∠bpd °. °.

Answers: 3

Answer

You know the right answer?

For the high school's production of "grease," 490 tickets were sold. the cost of a student
tic...