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
[tex]9.50x+665> 1000\\9.50x> 1000-665\\9.50x\> 335[/tex]
Dividing both sides by 9.50
[tex]\frac{9.50x}{9.50}>\frac{335}{9.50}\\\\x>35.26[/tex]
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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