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Asha often goes swimming at Upton leisure centre. She pays E5.20 each time she swims. Next month the price will increase by 12.5% How much more will Asha need to pay for each swim? Give your answer in pence.

Question

Asha often goes swimming at Upton leisure centre.
She pays E5.20 each time she swims.
Next month the price will increase by 12.5% 
How much more will Asha need to pay for each swim?
Give your answer in pence.

Asha often goes swimming at Upton leisure centre. She pays E5.20 each time she swims. Next month the price will increase by 12.5% How much more will Asha need to pay for each swim? Give your answer in pence.

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LottieVeteran · Tutor for 9 years

Answer

After performing the calculations, the additional amount that Asha will pay per swim increase is equal to 65 pence. This means that starting from next month, Asha will need to pay an additional 65p every time she goes for a swim at Upton leisure centre.

Explain

## Step 1: Write the Percentage As a Decimal<br />The percentage increase is given as 12.5%. In decimal form, 12.5% is represented as 0.125. The conversion from percentage to fraction is done by dividing the value by 100.<br /><br />### \[\textbf{Fraction Increase =} \frac{\text{12.5%}}{\text{100}} = \textbf{0.125}\]<br /><br />## Step 2: Calculate the Increase Amount<br />Next, we will determine the exact amount surcharged by multiplying the decimal equivalent of the percentage by the initial fare of £5.20.<br /><br />### \[\textbf{Increase = Initial Price} \times \textbf{Fraction Increase}\]<br /><br />### \[\textbf{Increase = £5.20} \times \textbf{0.125}\]<br /><br />## Step 3: Convert the Result to Pence<br />This is done multiplying the result by 100 since £1 = 100 pence and we are asked to provide the result by copy in pence.<br /><br />### \[Increase(pence) = Increase(£) \times 100 \]<br /><br />So, Let's perform the above calculation and find the amount Asha needs to pay more for each swim:<br /><br />## Step 4: Implement the multiplication:<br />After each multiplication and addition, double-check and ensure that your intermediate results are correct.
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