Respuesta :

[tex]21+7.50p\leq 52[/tex]

Explanation:

For inequalities, "a is no more than b" can be written as:

[tex]a\leq b[/tex]

Here we know Candace that can spend no more than $52 before tax. She can spend a certain amount of money in both Dark Roast coffee and Morning Blend coffee. So she spends:

  • 2 pounds of Morning Blend coffee.
  • p pounds of Dark Roast coffee

Therefore:

Amount of money for Morning Blend coffee:

[tex]2\times 10.50=\$21[/tex]

Amount of money for Dark Roast coffee:

[tex]p\times 7.50=\$7.50p[/tex]

So the total amount of money:

[tex]21+7.50p[/tex]

Finally, the inequality becomes:

[tex]21+7.50p\leq 52[/tex]

Besides, in order to know how many pounds she can spend let's solve for p:

[tex]7.50p\leq 52-21 \\ \\ 7.50p\leq 31 \\ \\ p\leq 4.13[/tex]

So she can spend less that 4.13 pounds.

Learn more:

Inequalities: https://brainly.com/question/12890742

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