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The ratio of the cost of one metre of cotton fabric to the cost of one metre of silk fabric is 2 : 5Complete the table of costs.Input note: do not include the pound sign in your answer.(3 marks)2 m 6 m 8 m 9 mcotton fabric £6 silk fabric

Question

The ratio of the cost of one metre of cotton fabric to the cost of one metre of silk fabric is 2 : 5Complete the table of costs.Input note: do not include the pound sign in your answer.(3 marks)2 m 6 m 8 m 9 mcotton fabric £6 silk fabric

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Solution

The ratio of the cost of one metre of cotton fabric to the cost of one metre of silk fabric is 2:5. This means that for every 2 units of cost for cotton fabric, the cost for silk fabric is 5 units.

Let's fill in the table:

  1. For 2m of cotton fabric, the cost is £6. Therefore, for 1m of cotton fabric, the cost would be £6/2 = £3.

  2. For 6m of cotton fabric, the cost would be 6m * £3/m = £18.

  3. For 8m of cotton fabric, the cost would be 8m * £3/m = £24.

  4. For 9m of cotton fabric, the cost would be 9m * £3/m = £27.

Now, let's calculate the cost for silk fabric:

  1. If the cost of 1m of cotton fabric is £3 and the ratio of cotton to silk is 2:5, then the cost of 1m of silk fabric would be £3 * (5/2) = £7.5.

  2. For 2m of silk fabric, the cost would be 2m * £7.5/m = £15.

  3. For 6m of silk fabric, the cost would be 6m * £7.5/m = £45.

  4. For 8m of silk fabric, the cost would be 8m * £7.5/m = £60.

  5. For 9m of silk fabric, the cost would be 9m * £7.5/m = £67.5.

So, the completed table would look like this:

2 m 6 m 8 m 9 m cotton fabric £6 £18 £24 £27 silk fabric £15 £45 £60 £67.5

This problem has been solved

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