You have \[tex]$90 to spend on a book, a camera, and a pair of jeans. How can you apply the calculations below to purchase all three items? Complete the table and box below to record your work and answers.

The table shows the original prices of the items. You must change each price by applying one of the cards shown above. You must use each card exactly once. Fill in the table to show how to use the cards. Then find the final price of each item and your grand total.

\begin{tabular}{|l|l|l|l|}
\hline
\multicolumn{1}{|c|}{Item} & Original Price & Card & Final Price \\
\hline
Book & \$[/tex]12 & & \\
\hline
Camera & \[tex]$50 & & \\
\hline
Jeans & \$[/tex]24 & & \\
\hline
\multicolumn{2}{|r|}{Grand Total} & & \\
\hline
\end{tabular}



Answer :

Let's use the available discount cards on the items and calculate the final prices along with the grand total. Here’s the step-by-step process for each item:

1. Book:
- Original Price: \[tex]$12 - Card Used: Trebu. (which gives a 12% discount) - Final Price Calculation: - Discount: \( 0.12 \times 12 = 1.44 \) - Final Price: \(\$[/tex]12 - \[tex]$1.44 = \$[/tex]10.56\)

2. Camera:
- Original Price: \[tex]$50 - Card Used: $[/tex]B[tex]$ (Buy one get one free - effective as 50% off) - Final Price Calculation: - Discount: \( \frac{50}{2} = 25 \) - Final Price: \(\$[/tex]50 - \[tex]$25 = \$[/tex]25.00\)

3. Jeans:
- Original Price: \[tex]$24 - Card Used: $[/tex]\omega[tex]$ (which gives a \$[/tex]2 off)
- Final Price Calculation:
- Discount: \[tex]$2 - Final Price: \(\$[/tex]24 - \[tex]$2 = \$[/tex]22\)

Finally, add up the final prices to get the grand total:
- [tex]\( \$10.56 \)[/tex] (Book) + [tex]\( \$25.00 \)[/tex] (Camera) + [tex]\( \$22.00 \)[/tex] (Jeans) = [tex]\( \$57.56 \)[/tex]

So, your completed table and calculations look like this:

[tex]\[ \begin{tabular}{|l|l|l|l|} \hline \multicolumn{1}{|c|}{ Item } & Original Price & Card & Final Price \\ \hline Book & \$12 & Trebu. & \$10.56 \\ \hline Camera & \$50 & $B$ & \$25.00 \\ \hline Jeans & \$24 & $\omega$ & \$22.00 \\ \hline \multicolumn{3}{|r|}{ \textbf{Grand Total} } & \$57.56 \\ \hline \end{tabular} \][/tex]

With these calculations, you can purchase all three items for a total of \[tex]$57.56, well within your \$[/tex]90 budget.