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Sagot :
In this case, we have that there are 19 red marbles for every black marble:
19 red marble/ 1 black marble.
If we sum the red marbles and the black marbles, and we form the fraction to represent the totals, we have that:
[tex]\frac{19r}{1b}\Rightarrow19+1=20\Rightarrow R=\frac{19}{20},B=\frac{1}{20}[/tex]Then, we have that the red marbles are 19/20 of the total, and the black marbles are 1/20 of the total.
Therefore, to have a total of red marbles, we have that:
[tex]R=\frac{19}{20}\cdot120m\Rightarrow R=\frac{19\cdot120m}{20}\Rightarrow R=114[/tex]To check this result, we have that the black marbles are:
[tex]B=\frac{1}{20}\cdot120m\Rightarrow B=6[/tex]Then, if we divide the total of red marbles by the total of black marbles, we have:
[tex]\frac{114r}{6b}=19=\frac{19r}{1b}[/tex]Thus, we confirm that we have 19 red marbles for every black marble.
Then, the total of red marbles is 114 red marbles.
You have 19 red marbles for every 1 black marble, then we have 19+1 = 20. Then, you form the fractions 19/20 and 1/20 to have the ratio of the total of red and black marbles. The fraction of the total of red marbles is 19/20, and the fraction of the total of black marbles is 1/20.
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