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John mixes sand and cement in the ratio 3:1. He needs 900 kg of the mix. A 135 kg bag of sand costs £8.64. A 25 kg bag of cement costs £6.59. Calculate how much it will cost John to make the mix.

Answer :

Final answer:

John will need 675 kg of sand and 225 kg of cement to make the mix, costing him £7314.75.

Explanation:

To find out how much it will cost John to make the mix, we need to determine the quantities of sand and cement he will need.

Since the ratio of sand to cement is 3:1, we can let the weight of sand be 3x and the weight of cement be x.

Let's solve for x:

3x + x = 900

4x = 900

x = 225

So, John needs 225 kg of cement and 3 times that amount, 675 kg of sand.

Now, we can calculate the cost:

  1. Cost of sand: 675 kg * £8.64 = £5832
  2. Cost of cement: 225 kg * £6.59 = £1482.75
  3. Total cost: £5832 + £1482.75 = £7314.75

Therefore, it will cost John £7314.75 to make the mix.

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