Question

A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every1 black marble. How many red marbles are in the bag? Explain your reasoning.

Answer 1

Answer:

There are 114 red marbles in the bag.

Step-by-step explanation:

Given the total number of marbles is 120

There are 19 red marbles for every black marble.

Let the number of black marbles be 'x'

If there are 19 marbles for every black marble and the number of black marbles is x, then the number of red marbles is, 19x.

The equation will be,

Total number of marbles = red marbles + black marbles

120 = 19x +x

120 = 20x

120/20 = x

6 = x

x=6

The number of black marbles is 6.

The number of red marbles = 19x = 19*6 = 114

Proof;

6 +`114 = 120

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