Respuesta :

Answer:

The number of red marbles in the bag are 114.

Step-by-step explanation:

Given:

Total marbles in the bag is 120. There are 19 marbles for every black marble.

Now, to get how many red marbles in the bag.

Let the black marbles be [tex]x[/tex].

And the red marbles be [tex]19x[/tex].

According to question:

[tex]x+19x=120[/tex]

[tex]20x=120[/tex]

Dividing both sides by 20 we get:

[tex]\frac{20x}{20}=\frac{120}{20}[/tex]

[tex]x=6[/tex]

Black marbles = 6

So, the red marbles = 19×6 = 114.

Therefore, the number of red marbles in the bag are 114.

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