Question

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

Answer 1

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

`\text{ \$}6* p=\text{ \$}6p`

So $6p will be spent on candy.

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

`6p<44`

Solve for p in the inequality:

`\begin{gathered} (6p)/(6)<(44)/(6) \\ \Rightarrow p<(22)/(3) \\ \Rightarrow p<7(1)/(3) \end{gathered}`

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:

`0\le p<7(1)/(3)`