Solve the system by substitution. 2x=y-10 2x+7=2y The solution is ( , ).
1 answer:
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Answer:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
Put in eq(2)
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375