The table shows the supplies a school supply store has left at the end of the week. The store manager wants to put pencils and notepads together in bags to sell as a combo pack, and he wants to make the greatest number of bags possible.

\begin{tabular}{|l|c|}
\hline
Item & Number \\
\hline
Pencils & 48 \\
\hline
Pens & 32 \\
\hline
Erasers & 60 \\
\hline
Notepads & 36 \\
\hline
\end{tabular}

If all of the pencils and notepads are distributed evenly among all of the bags, and the store charges [tex]$\$4$[/tex] per bag, how much money will the store bring in if they sell all of the bags?



Answer :

Let's start by understanding the available supplies and the goal. The table provides the counts of various items:

- Pencils: 48
- Pens: 32
- Erasers: 60
- Notepads: 36

The manager wants to create combo packs containing pencils and notepads, aiming to make as many bags as possible. To determine this, we need to look at the limiting factor – the item with the smaller count, which is notepads in this case since there are only 36 notepads compared to 48 pencils.

Thus, the maximum number of bags that can be created will be limited by the number of notepads available. Since there are 36 notepads, the greatest number of bags that can be made is 36.

Next, we need to calculate the total earnings if the store charges [tex]$4 per bag. The total revenue is obtained by multiplying the number of bags by the price per bag: \[ \text{Total money} = \text{Number of bags} \times \text{Price per bag} = 36 \times 4 = 144 \] Therefore, if the store sells all of the bags, it will bring in $[/tex]144.