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kokokakahi
04.12.2019 •
Mathematics
To raise funds, a school sells raffle tickets to parents and students. the parent tickets cost $6 each and the student tickets cost $1.50 each. the school sold 371 tickets and raised a total of $822. how many students purchased a ticket?
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Ответ:
312 students purchased a ticket
Step-by-step explanation:
Let x represent the number of raffle tickets sold to parents.
Let y represent the number of raffle tickets sold to students.
The school sold 371 tickets. This means that
x + y = 371
x = 371 - y
The parent tickets cost $6 each and the student tickets cost $1.50 each and the school raised a total of $822. This means that
6x + 1.5y = 822 - - - - - - - -1
Substituting x = 371 - y into equation 1, it becomes
6(371 - y) + 1.5y = 822
2226 - 6y + 1.5y = 822
- 6y + 1.5y = 822 - 2226
- 4.5y = - 1404
y = -1404/-4.5
y = 312
x = 371 - y
x = 371 - 312
x = 59
Ответ:
80 = .5k
k = 160
y = 160*2.25
y = 360