Can someone help me with this word problem?

Question

1. Jenny’s school is selling tickets to a choral performance. On the first day of ticket sales the school sold 5 senior citizen tickets and 7 student tickets for a total of $128. The school took in $217 on the second day by selling 7 senior tickets and 14 student tickets. What is the price each of one senior ticket and one student ticket?



Answer 1

x = senior tickets

y = student tickets

5x + 7y = 128 (5 senior tickets + 7 stundet tickets = gave the school $128

Solving for x

x= (-7y + 128) / 5

On the second day:

7x + 14y = 217

Substituting x into the second equation (second day) we have

7{ (-7y + 128) / 5 } + 14y = 217

7 (-7y/5 + 128/5) + 14y = 217

Distributing the 7 we have

-49y/5 + 896/5 + 14y = 217

Combining the y terms 49y/5 + 14y/1 we have

21y/5 + 896/5 = 217

21y/5 = 217 - 896/5

21y/5 = 189/5

21y = 189

y = 9

Answer 2

x= senior ticket ($)

y= student ticket ($)

Day 1: 5x + 7y = 128

Day 2: 7x + 14y = 217

7x+14y=217 ---> divide both sides by 7 and get x on its own ---> x= 31 - 2y

Plug into the day 1 equation

5(31-2y) + 7y = 128

155 - 3y = 128

27 = 3y

y= 9

Check answer: 7*9=63 128-63=65 65/5= 13 x=13

FINAL ANSWER: senior tickets are $13 and student tickets are $9

Answer 3

x represents senior tickets

y represents student tickets

5x + 7y = 128

7x + 14y = 214

Can you solve for x or y and answer?