Isaac performs at a fair he earns 100 dollars plus 3 dollars for every ticket sold he wants to earn more than 450 dollars. write an inequality to find the number of tickets that need to be sold for isaac to earn more than 450 dollars.

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24-10-2022
Mathematics

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Isaac performs at a fair he earns 100 dollars plus 3 dollars for every ticket sold he wants to earn more than 450 dollars. write an inequality to find the number of tickets that need to be sold for isaac to earn more than 450 dollars.

Answer :

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The inequality to find the number of tickets Isaac needs to sell to earn than $450 is 100 + 3x ≤ 450 and the number of times he will sell the tickets is 117.

What is inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
The majority of the time, size comparisons between two numbers on the number line are made.
Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

So, the inequality can be:

Issac earns:-

By performing $100 and by selling each ticket $3.
Let, this be $100 be constant.

Isaac wants to earn $450,

$100 he already has.
3 × 117 = $351

So, the inequality that can be formed here is:

Let, 'x' be the number of times Isaac sell the tickets.

100 + 3x ≤ 450

By solving we will get:

100 + 3(117) ≤ 450
100 + 351 ≤ 450
451 < 450

Therefore, the inequality to find the number of tickets Isaac needs to sell to earn than $450 is 100 + 3x ≤ 450 and the number of times he will sell the tickets is 117.

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