Alicia cashed her paycheck and used half her earnings to take 3 friends to dinner. She spent $42.15 on dinner and she brought home more than $20.00. write a inequality to represent the situation, using x to represent the amount of alicia check.

Respuesta :

Alicia took half of her salary which is $42.15. So the total amount of her salary is $84..30.

Therefore, x-$42.15 ≥ $20.00

$84.30/x ≥$62.15

The amount of Alicia check is [tex]X[/tex].

Amount spent on dinner = [tex]\$42.15[/tex]  (given)

Amount brought to home = more than [tex]\$20.00[/tex]  (given)

The above information can be written in equation as:

[tex]X - \$42.5 > \$20.00[/tex]

Solving for [tex]X[/tex] as:

[tex]X > \$20.00 + \$42.15[/tex]

[tex]X > \$62.15[/tex]

Hence, inequality to represent the situation is [tex]X > \$62.15[/tex].

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