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Elastic bands are sold in packs of 100. Each pack costs £1.59.

The table below shows the discount offered for large orders:
\begin{tabular}{|c|c|}
\hline Total Order Amount & Discount \\
\hline £20 - £34.99 & 2.5\% \\
\hline £35 - £49.99 & 3\% \\
\hline £50 and above & 3.5\% \\
\hline
\end{tabular}

Nadia orders 15 packs of elastic bands.

Work out the amount of discount Nadia gets. £_____

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Sagot :

To solve this problem, we'll go through the steps necessary to calculate the discount Nadia receives for ordering 15 packs of elastic bands.

1. Calculate the Total Cost:
Nadia orders 15 packs, and each pack costs £1.59.
So, the total order cost is:
[tex]\[ \text{Total cost} = 15 \text{ packs} \times £1.59 \text{ per pack} = £23.85 \][/tex]

2. Determine the Discount Rate:
Next, we need to check the total cost (£23.85) against the discount bands provided:
[tex]\[ \begin{align*} £20 \leq £23.85 < £35 & \Rightarrow \text{ Discount rate } = 2.5\% \end{align*} \][/tex]
According to the discount bands, for a total cost between £20 and £34.99, the discount rate is 2.5%.

3. Calculate the Discount Amount:
The discount amount can be calculated by applying the discount rate to the total cost:
[tex]\[ \text{Discount amount} = £23.85 \times 0.025 = £0.59625 \][/tex]

4. Final Answer:
The amount of discount Nadia gets is:
[tex]\[ £0.59625 \][/tex]

So, Nadia receives a discount of £0.59625 when she orders 15 packs of elastic bands.