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sumitshekhar348
12.03.2021 •
Mathematics
A carnival manager counted 275 ticket receipts after the first day of the carnival. The price for an adult ticket was $11.50, and the price for a student ticket was $10. The total amount of money collected was $2,930. Let x represent the number of adult tickets and y represent the number of student tickets. Write the ordered pair, (x,y), that represents the ticket sales.
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Ответ:
The ordered pair that represents the ticket sales is (120,155).
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=275 (1)
11.50x+10y=2,930 (2), where:
x is the number of adult tickets
y is the number of student tickets
Now, you can solve for x in (1):
x=275-y (3)
Then, you can replace (3) in (2):
11.50(275-y)+10y=2,930
3,162.5-11.50y+10y=2,930
3,162.5-2,930=11.50y-10y
232.5=1.50y
y=232.5/1.50
y=155
Finally, you can replace the value of y in (3) to find x:
x=275-y
x=275-155
x=120
According to this, the answer is that the ordered pair that represents the ticket sales is (120,155).
Ответ: