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Ms Kay bought a roll of lace. She used 40% of it to make dresses and 25% of the remainder on skirts. She used 30 m more lace on the dresses than on the skirts. What was the length of the roll of lace Ms Kay have?

Question

Ms Kay bought a roll of lace. She used 40% of it to make dresses and 25% of the remainder on skirts. She used 30 m more lace on the dresses than on the skirts. What was the length of the roll of lace Ms Kay have?

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Solution

Let's denote the total length of the lace roll as X meters.

  1. Ms Kay used 40% of the lace roll for dresses, which is 0.4X meters.
  2. The remainder of the lace roll is then 60% of the total, which is 0.6X meters.
  3. She used 25% of this remainder on skirts, which is 0.25 * 0.6X = 0.15X meters.
  4. According to the problem, she used 30 m more lace on the dresses than on the skirts. So, 0.4X = 0.15X + 30.
  5. Solving this equation for X gives X = 30 / (0.4 - 0.15) = 120 meters.

So, the total length of the lace roll Ms Kay had was 120 meters.

This problem has been solved

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