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

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

Answer 2

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 $X > \ 62.15$.