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.