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Mathematics

A, B, C, D and E went to a restaurant for dinner. A paid 12\dfrac{1}{2} of the bill, B paid 15\dfrac{1}{5} of the bill and rest of the bill was shared equally by C, D and E. What fraction of the bill was paid by each?

  1. 35\dfrac{3}{5}

  2. 25\dfrac{2}{5}

  3. 310\dfrac{3}{10}

  4. 110\dfrac{1}{10}

Rational Numbers

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Answer

First find the fraction of the bill left after A and B have paid, then divide it equally among C, D and E.

Finding the fraction of the bill paid by A and B together,

LCM of 2 and 5 is 10.

12+15=5+210=710\dfrac{1}{2} + \dfrac{1}{5} = \dfrac{5 + 2}{10} \\[1em] = \dfrac{7}{10}

Finding the fraction of the bill left,

1−710=10−710=3101 - \dfrac{7}{10} = \dfrac{10 - 7}{10} \\[1em] = \dfrac{3}{10}

Finding the fraction of the bill paid by each of C, D and E,

310÷3=310×13=110\dfrac{3}{10} \div 3 = \dfrac{3}{10} \times \dfrac{1}{3} \\[1em] = \dfrac{1}{10}

Hence, Option 4 is the correct option.

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