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14 November, 20:56

When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam. They had 504 chocolates altogether. How many more chocolates did Clarissa have at first?

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  1. 15 November, 00:44
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    315 chocolate

    Step-by-step explanation:

    Let Sam's chocolate be S

    Let Clariss's chocolate be C

    When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.

    This can be written as:

    C = 5S

    The sum of their chocolate is 504 i. e

    S + C = 504

    Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:

    S + C = 504

    But: C = 5S

    S + 5S = 504

    6S = 504

    Divide both side by 6

    S = 504/6

    S = 84.

    C = 5S = 5 x 84 = 420

    Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.

    Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:

    Amount of chocolate that Clarissa has a first = 420 - 105 = 315

    Therefore, Clarissa had 315 chocolate at first.
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