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Nicole buys candy that costs $6 per pound, she will spend less than $44 on candy, What are the prible numbers of pounds she will surUse p for the number of pounds Nicole will buyWrite your answer as an inequality solved for p

Sagot :

Since candy costs $6 per pound, it implies that p pounds of candy costs:

[tex]\text{ \$}6\times p=\text{ \$}6p[/tex]

So $6p will be spent on candy.

Since less than $44 will be spent on candy. it follows the required inequality is:

[tex]6p<44[/tex]

Solve for p in the inequality:

[tex]\begin{gathered} \frac{6p}{6}<\frac{44}{6} \\ \Rightarrow p<\frac{22}{3} \\ \Rightarrow p<7\frac{1}{3} \end{gathered}[/tex]

Note that the number of pounds, p should be a positive number hence, the possible number of pounds that can be bought will be non-negative:

[tex]0\le p<7\frac{1}{3}[/tex]

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