Question

Will choose Brainliest.
Jessica 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 than 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 x^2- _ x + 224 ≥ 0
Jessica has at least
_ cookies more than Martha.

Answer 1

That part is total cookies as per algebraic formula x^2-(a+b)x+ab=0

Hence

The inequality is

$\\ \rm\rightarrowtail x^2-30x+224>=0$

$\\ \rm\rightarrowtail (x-14)(x-16)>=0$

$\\ \rm\rightarrowtail 14\leqslant x\leqslant 16$

Solution range

• [14,16]

Atleast means the range

• 16-14
• 2

Atleast 2 more than Martha