University theater sold 491 tickets for a play. Tickets cost $25 per adult and $13 per senior citizen. If total receipts were $8195, how many senior citizen tickets were sold?

340 senior citizen tickets were sold

Step-by-step explanation:

Let x represent the number of senior tickets that were sold.

Let y represent the number of adult tickets that were sold.

The University theater sold 491 tickets for a play. This means that

x + y = 491

Tickets cost $25 per adult and $13 per senior citizen. If total receipts were $8195, it means that

13x + 25y = 8195 - - - - - -- - -- -- -1

Substituting x = 491 - y into equation 1, it becomes

13(491 - y) + 25y = 8195

6383 - 13y + 25y = 8195

- 13y + 25y = 8195 - 6383

12y = 1812

y = 1812/12

y = 151

Substituting y = 151 into x = 491 - y, it becomes

x = 491 - 151

x = 340

i got 142 as my answer

step-by-step explanation:

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

because i took test