100 points please help 8th grade math
1 answer:
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Answer:
Number of student tickets sold are 57 and general tickets sold are 68.
Step-by-step explanation:
Let the number of student tickets = x and the number of general tickets = y.
It is given that in total 125 tickets were sold.
So, we have,
Also, students tickets is sold for $6 each and the general tickets are sold for $10 each.
Since, the total cost of the tickets is $1022.
So, we get,
Thus, the system of equations obtained is,
x + y = 125 ........................(1)
6x + 10y = 1022
Multiply equation (1) by 6 gives us,
6x + 6y = 750 ............................(2)
6x + 10y = 1022 .........................(3)
Subtact (2) from (3), we get,
10y - 6y = 1022 - 750
i.e. 4y = 272
i.e. y= 68.
So, equation (1) gives,
x = 125 - y
i.e. y = 125 - 68
i.e. y = 57
Hence, the number of student tickets sold are 57 and general tickets sold are 68.