Question

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.

Answer 1

The amount of Alicia check is
`X`.

Amount spent on dinner =
`\$42.15` (given)

Amount brought to home = more than
`\$20.00` (given)

The above information can be written in equation as:

`X - \$42.5 > \$20.00`

Solving for
`X` as:

`X > \$20.00 + \$42.15`

`X > \$62.15`

Hence, inequality to represent the situation is
`X > \$62.15`.

Answer 2

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