can someone help me because i don't understand the problem

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

Hello Jada,

For this type of problem, we are trying to set up an inequality that represents the situation described in the problem. In this case, we are trying to set up an inequality that shows how even after she spent some of her paycheck, she still had more than 20 dollars leftover. We want to use the variable x to represent Alicia's paycheck, so let's start with the 1st step. The 1st step is to divide Alicia's paycheck in half, since she only cashed half of it to pay for the dinner with her friends. We can write that portion as 1/2x.

Alicia's portion of paycheck available to spend on dinner =

1/2x

We are also told that Alicia spent 42.15 on dinner with her friends so we will subtract that from 1/2x, the total portion of her paycheck that she is spending on their dinner. The difference between those two is the amount leftover that Alicia has after spending the money on dinner.

Alicia's portion of paycheck leftover after buying dinner =

1/2x - 42.15

We know that the amount leftover is greater than 20, so we can write combine and write that as our inequality.

1/2x - 42.15 > 20.00

For this question we are only being asked to set up an inequality for x, not necessarily solve it so that should be our answer.

Answer 2

She went to the restaurant and spent 42.50 and cam bacjk with 20. this was a toatal of 62.50 that she set aside. she saved an equal amount. so total income, X =$125. Dinner will be less than or equal 1/2 X.