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Les wants to make 20 scones, but the recipe is for 8. The recipe requires 350g flour, 90g butter, 100g sultanas, and 170ml milk. How much of each ingredient is needed for 20 scones?

Mathematics

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Step-by-step solution

5 steps
  1. Calculate the scaling factor to determine how much more of each ingredient is needed.

    The recipe is for 8 scones, and Les wants to make 20 scones.

    Scaling factor=Desired number of sconesOriginal number of scones=208=2.5\text{Scaling factor} = \frac{\text{Desired number of scones}}{\text{Original number of scones}} = \frac{20}{8} = 2.5
  2. Calculate the amount of flour needed.

    Flour=350 g×2.5=875 g\text{Flour} = 350\, \text{g} \times 2.5 = 875\, \text{g}
  3. Calculate the amount of butter needed.

    Butter=90 g×2.5=225 g\text{Butter} = 90\, \text{g} \times 2.5 = 225\, \text{g}
  4. Calculate the amount of sultanas needed.

    Sultanas=100 g×2.5=250 g\text{Sultanas} = 100\, \text{g} \times 2.5 = 250\, \text{g}
  5. Calculate the amount of milk needed.

    Milk=170 ml×2.5=425 ml\text{Milk} = 170\, \text{ml} \times 2.5 = 425\, \text{ml}

    Les needs the following amounts of each ingredient:

    • Flour: 875 g\boxed{\text{875 g}}
    • Butter: 225 g\boxed{\text{225 g}}
    • Sultanas: 250 g\boxed{\text{250 g}}
    • Milk: 425 ml\boxed{\text{425 ml}}
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