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Maria has £40. A coat is priced at £65. In week 1, the price is reduced by 20%. In week 2, the price is reduced by a further £10. Does Maria have enough money to buy the coat in week 2?

Mathematics

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Step-by-step solution

3 steps
  1. Calculate the price of the coat in Week 1.

    The normal price is £65. In Week 1, the price is reduced by 20%.

    Reduction=20% of £65=20100×65=15×65=£13\text{Reduction} = 20\% \text{ of } \pounds65 = \frac{20}{100} \times 65 = \frac{1}{5} \times 65 = \pounds13 Price in Week 1=£65−£13=£52\text{Price in Week 1} = \pounds65 - \pounds13 = \pounds52
  2. Calculate the price of the coat in Week 2.

    In Week 2, the price is reduced by a further £10 from the Week 1 price.

    Price in Week 2=£52−£10=£42\text{Price in Week 2} = \pounds52 - \pounds10 = \pounds42
  3. Compare the Week 2 price with Maria's money.

    Maria has £40. The price of the coat in Week 2 is £42.
    Since £40<£42\pounds40 < \pounds42, Maria does not have enough money.

    Maria does not have enough money to buy the coat in week 2 of the sale. She needs an additional £42−£40=£2\pounds42 - \pounds40 = \pounds2.

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