Share

## the Town Theater received $22,540.75 by selling 435 tickets to the opening night of the play. if the full price of a ticket is $6.25 and dis

Question

the Town Theater received $22,540.75 by selling 435 tickets to the opening night of the play. if the full price of a ticket is $6.25 and discount tickets for students and seniors are $5.25 each how many full-price tickets were sold

in progress
0

Math
1 week
2021-09-15T01:39:32+00:00
2021-09-15T01:39:32+00:00 2 Answers
0
## Answers ( )

Answer:Full tickets sold were 257 in count and discounted tickets were 178.Step-by-step explanation:Let the full tickets be = f

Let the discounted tickets be = d

Total tickets sold = 435

This can be written as :

or …..(1)

The full price of a ticket is $6.25 and discount price is $5.25 and total earning is $2540.75.

In equation form, it can be written as :

….(2)

Substituting the value of f in (2)

so , d = 178

And

So,

Hence, full tickets sold were 257 in count and discounted tickets were 178.I tried solving the problem and it didn’t make sense until assuming that 22540.75 was a typo for 2540.75.Answer:2540.75 = 6.25x + 5.25y

435 = x + y

x = number of adult tickets

y = number of student and senior tickets

Question is asking to find x

– – – – – – – – – – – – – – – – – –

435 = x + y

2283.75 = 5.25x + 5.25y

Elimination method:

2540.75 = 6.25x + 5.25y

-(2283.75 = 5.25x + 5.25y)

257 = x

257 full priced tickets were sold.Please mark for Brainliest!! 😀 Thank you!!

For any questions, please comment!!