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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.

Respuesta :

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

Hence

The inequality is

[tex]\\ \rm\rightarrowtail x^2-30x+224>=0[/tex]

[tex]\\ \rm\rightarrowtail (x-14)(x-16)>=0[/tex]

[tex]\\ \rm\rightarrowtail 14\leqslant x\leqslant 16[/tex]

Solution range

  • [14,16]

Atleast means the range

  • 16-14
  • 2

Atleast 2 more than Martha

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