Question

A bag contains 120 marbles. Some red and the rest are black . There are 19 red marbles for every black marble how many red marbles are In the bag explain your reasoning

Answer 1

Answer:

In the bag there are 114 red marbles.

Step-by-step explanation:

Analysis

We call x the set of 19 red marbles plus 1  black marble that is a set of 20 marbles.

To calculate the number of sets of 20 marbles that the bag has, we divide 120 by 20. x= 120÷20 x= 6 sets

Solution of problem

To obtain the number of red marbles (RM) we multiply the number of sets of marbles by the amount of red marbles that each set has. RM=19*6=114

Answer 2

There are 114 red marbles contained in the bag containing 120 marbles.

• Let the red marbles be R.

• Let the black marbles be B.

Given the following data:

• Total marbles = 120 marbles.

To find the amount of red marbles in the bag:

From the question, we can deduce that for every 19 marbles in a bag, there exist a single black marble.

Thus, the total number of marbles (both red and black) in each set is 20 marbles.

Translating the word problem into an algebraic expression, we have;

$19R + B = 120 \;marbles$

Next, we would find the number of sets contained in the bag:

$Sets = \frac{Total\;marbles}{Each \;sets} \\\\Sets = \frac{120}{20}$

Sets = 6 sets.

For red marbles:

$19R = 19 \times 6\\\\19R = 114 \;marbles$

Red marbles, R = 114 red marbles.

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