The theater must sell more than 35 tickets to earn at least $1000.
Step-by-step explanation:
Cost of one student ticket = $9.50
Tickets already sold = 70
Cost of 70 tickets = 70*9.50 = $665
Worth to be made by selling tickets = $1000
Let,
x be the number of tickets to be sold.
According to statement;
The theater wants to earn $1000 minimum, therefore,
Cost of one ticket*Number of tickets to be sold + cost of 70 tickets > Total worth to be earned
![9.50x+665> 1000\\9.50x> 1000-665\\9.50x\> 335](https://tex.z-dn.net/?f=9.50x%2B665%3E%201000%5C%5C9.50x%3E%201000-665%5C%5C9.50x%5C%3E%20335)
Dividing both sides by 9.50
![\frac{9.50x}{9.50}>\frac{335}{9.50}\\\\x>35.26](https://tex.z-dn.net/?f=%5Cfrac%7B9.50x%7D%7B9.50%7D%3E%5Cfrac%7B335%7D%7B9.50%7D%5C%5C%5C%5Cx%3E35.26)
Rounding off to nearest whole number
x>35
The theater must sell more than 35 tickets to earn at least $1000.
Keywords: variable, inequality
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