Question

Alicia cashed half of her paycheck and set aside the other half to take her friends out to dinner. She spent $42.15

on dinner and brought home more than $20.00. Write an inequality to represent the situation, using x to represent
the amount of Alicia’s paycheck.

Answer 1

Alicia's Paycheck = x

Took half money for dinner x/2

She spent $42.15 on dinner and she brought home more than $20.00.

x/2 - $42.15 > $20.00

=> x/2 > $62.15

=> x > $124.3

Answer 2

`(x)/(2)-42.15>20.00`

Explanation:

Let x be the amount of Alicia's paycheck

Alicia set aside the other half to take her friends out to dinner.i.e.
`(x)/(2)`

She spent $42.15 on dinner

So, Remaining amount =
`(x)/(2)-42.15`

Now we are given that he brought home more than $20.00.

So,
`(x)/(2)-42.15>20.00`

Hence an inequality to represent the situation, using x to represent the amount of Alicia’s paycheck is
`(x)/(2)-42.15>20.00`