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Lottie buys 18 pens. The cheapest pens cost 27p each, and the most expensive pens cost 35p each. a) How much change should she get from £10 if she buys the cheapest pens? b) Explain what would happen

Mathematics

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Answer

a

£5.14\pounds5.14

Step-by-step solution

3 steps

Part a· 3 steps

  1. Calculate the total cost of 18 cheapest pens.

    The cost of one pen is 27p.

    Total cost=18×27p=486p\text{Total cost} = 18 \times 27\text{p} = 486\text{p}

  2. Convert the payment to pence.

    Lottie pays with a £10 note.

    £10=1000p\pounds10 = 1000\text{p}

  3. Calculate the change Lottie should get.

    Change=1000p−486p=514p\text{Change} = 1000\text{p} - 486\text{p} = 514\text{p}

    Convert the change back to pounds.

    514p=£5.14514\text{p} = \pounds5.14

    The change Lottie should get is £5.14\boxed{\pounds5.14}.

Part b

If Lottie buys 18 of the more expensive pens, the total cost of the pens will be higher than if she bought the cheapest ones. Since she still pays with a £10 note, a higher total cost means that the amount of change she receives will be less.

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