Problem

\begin{tabular}{|l|l|l|} \hline Item & Cost (in pounds) & $\begin{array}{l}\text { Cost (in Australian } \\ \text { dollars) }\end{array}$ \\ \hline Games Cap & 24.00 & 60.00 \\ \hline Games t-shirt & 10.00 & 25.00 \\ \hline Games Coffee Mug & 21.00 & 52.50 \\ \hline Large Teddy Bear & 30.00 & 75.00 \\ \hline \end{tabular} 3. Dylan's Aunty Susie gave him $\$ 270$ Australian to spend on the above merchandise. What items might he buy for her if she asked him to spend all this money? How much change was left?

Solution

Step 1 :First, we need to find the possible combinations of items that Dylan can buy with the given amount of money. Then, we need to calculate the total cost of each combination and find the one that is closest to the given amount without exceeding it.

Step 2 :Finally, we need to calculate the change left.

Step 3 :\(\text{Best combination:}\) Games Cap, Games t-shirt, Games Coffee Mug, and Large Teddy Bear

Step 4 :\(\text{Total cost:}\) \(\boxed{212.50}\) Australian dollars

Step 5 :\(\text{Change left:}\) \(\boxed{57.50}\) Australian dollars

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Source: https://solvelyapp.com/problems/25959/

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