Question

Susan has a balance of 110 dollars in her school lunch account and she spends 6 dollars per day for lunch. Her sister Evelyn has $83 in her account and she spends 4 dollar per day for lunch. Write and solve an inequality that shows in how many days will Susans lunch account balance be less than Evelyn?

110+6x<83+4x

Answer 1

Would the inequality be 110+6x<83+4x

Answer 2

13.5 days?

Answer 3

x>-13.5 is the answer

Answer 4

I meant to say x>13.5

Answer 5

ayeeeeeeee

Answer 6

[AI-generated answer — Explain Bot]

To write an inequality that shows how many days Susan's lunch account balance will be less than Evelyn's, we need to represent the amount of money Susan has left after a certain number of days (110 + 6x, where x is the number of days) and the amount of money Evelyn has left after the same number of days (83 + 4x, where x is the number of days).

The inequality can be expressed as:

110 + 6x < 83 + 4x

Now, to solve the inequality, we'll isolate the variable x:

110 - 83 < 4x - 6x
27 < -2x

To get rid of the negative coefficient, we divide both sides of the inequality by -2. However, when dividing by a negative number, we need to flip the inequality sign:

27/(-2) > x
-13.5 > x

Therefore, Susan's lunch account balance will be less than Evelyn's for any number of days greater than 13.5. Since we can't have a fraction of a day, we round up to the nearest whole number, which means Susan's account balance will be less than Evelyn's after 14 days.