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nyajah13
22.02.2021 •
Mathematics
Which graph represents a proportional relationship?
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Ответ:
The price of one adult ticket is $11 and the price of one student ticket is $6.
Step-by-step explanation:
We can write a system of equations to represent the situation. Let a represent the price of adult tickets sold and s represent the price of student tickets.
On the first day, nine adult tickets and 12 student tickets were sold for a total of $171. Hence:
And on the second day, 13 adult tickets and 14 student tickets were sold for a total of $227. Hence:
This yields a system of equations:
We can solve using elimination. Note that the LCM of 12 and 14 is 84. Hence, we can multiply the first equation by -7 and the second by 6:
Adding the two equations together now produces:
Therefore, the price of one adult ticket is $11.
To find the price of one student ticket, use either one of the original equations:
In conclusion, the price of one adult ticket is $11 and the price of one student ticket is $6.