Question

Mr. Garcia needs at least 60 paintbrushes for hisart classes. He has 22 paintbrushes already andwill buy more paintbrushes in packages of 8.Which inequality can be used to find how manypackages of paintbrushes, p, Mr. Garcia needs tobuy in order to have at least 60 paintbrushes?

Answer 1

Mr Garcia needs at least 60 paintbrushes, which means he needs to have 60 or more, but nothing less than 60 (60 is the smallest number).

This can be written as

`\begin{gathered} \ge60 \\ \text{The paintbrushes are sold in packages of 8, that means} \\ \text{Every package or p is 8 pieces and adding this to 22 paintbrushes already had;} \\ 8p+22\ge60 \end{gathered}`

Solving the inequality,

`\begin{gathered} 8p\ge38 \\ p\ge(38)/(8) \\ p\ge4(3)/(4) \end{gathered}`

P is greater than or equal to 4 and three quarters. Therefore, Mr Garcia needs to buy up to 5 packages, since they cannot be sold in fractions