The theater has already sold 7p tickets. Write and solve an inequality that represents how many more tickets the theater needs t

Question

3 years ago

13

o sell to earn at least $1000.

1 answer:

snow_lady [41] · Answer 1 · 2022-02-08T13:23:56+03:00

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

$9.50x+665> 1000\\9.50x> 1000-665\\9.50x\> 335$

Dividing both sides by 9.50

$\frac{9.50x}{9.50}>\frac{335}{9.50}\\\\x>35.26$

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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