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(4) There are blue, yellow and red marbles in a box.
of the marbles are blue and of the remaining marbles are yellow.
(a) What fraction of the marbles are yellow?
(b) What fraction of the marbles are red?

Ask by Mullins Hamilton. in Singapore
Jan 25,2025

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(a) of the marbles are yellow.
(b) of the marbles are red.

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Bonus Knowledge

To solve this problem, let represent the total number of marbles in the box.
First, we know that of the marbles are blue. This means the number of blue marbles is . The remaining marbles are .
Now, we are told that of the remaining marbles are yellow. So the number of yellow marbles is:
To find the fraction of the total marbles that are yellow:
Next, to find the fraction of marbles that are red, we first determine the total number of yellow and blue marbles:
  • Number of blue marbles:
  • Number of yellow marbles:
To find the number of red marbles, we subtract the blue and yellow marbles from the total :
First, we convert into a fraction with a denominator of 16 (the same as ):
Now we add the fractions of blue and yellow marbles:
Thus, the remaining marbles that are red are:
To find the fraction of the total marbles that are red:
So, in summary:
(a) The fraction of the marbles that are yellow is .
(b) The fraction of the marbles that are red is .

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