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?

Respuesta :

Answer:

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.

The number of more chocolates did Clarissa have at first is 315 chocolates.

Calculation of the number of chocolates:

Since Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam. They had 504 chocolates altogether.

here we assume Sam's chocolate be S and Clariss's chocolate be C

So, the equations are

C = 5S

S + C = 504

So, it could be like

S + 5S = 504

6S = 504

S = 84.

C = 5S = 5 x 84 = 420

Now the extra chocolates shoudl be

= 420 – 105

= 315

Therefore, Clarissa had 315 chocolate at first.

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