Essica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below. the inequality that describes the relationship between the number of cookies each one of them has is x2 - x + 224 ≥ 0. jessica has at least cookies more than martha.

I just took the test. For PLATO the first blank is 30 and the second blank is 2.

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is

Part 2) Jessica has at least 2 cookies more than Martha.

Explanation:

Let Jessica has x cookies.

Let Martha has y cookies.

Total cookies they have = 30

Equation forms:

or      .....(1)

Each of them ate 6 cookies from their bag.

Cookies left with Jessica =

Cookies left with Martha =

The product of the number of cookies left in each bag is not more than 80.

   ....(2)

Substituting in equation (2)

=>

=>

=>

=>

Multiplying both sides by -1.

Solving this quadratic equation, we get

or

We will take x = 16 (bigger value as Jessica has more cookies)

And y =

y = 14

So, Jessica has 16 cookies.

Martha has 14 cookies.

Cookies left in the bag :

Jessica : cookies

Martha  : cookies

Therefore, Jessica has at least 2 cookies more than Martha.

your answer is c. 97 (don't delete this again)

step-by-step explanation: