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a bag contains only red and blue marbles. There are a total of 36 marbles on the bag. There are 5 red marbles for every 4 blue marbles in the bag. A student removes 1 blue marble from the bag. The student reasons that there are now 5 red marbles in the bag for every 3 marbles since 4-1=3

Respuesta :

This reasoning is incorrect. The reason is because there are 36 total marbles, not 9 total marbles. The ratio of 5 red to 4 blue marbles only gives us a total of 9 marbles, which is not correctly representing the real amount of marbles.

If one blue marble is taken away, we are left with a ratio of 20 red marbles to 15 blue marbles. This would be a simple ratio of 4 red to 3 blue.
Ver imagen Mrscomputator

The ratio computed shows that the student's reasoning that there are now 5 red marbles in the bag for every 3 marbles is incorrect.

How to illustrate the ratio?

From the information given, there are 36 marbles in the bag. The number of red marbles will be:

= 5/9 × 36

= 20 marbles

The number of blue marbles will be:

= 4/9 × 36

= 16 marbles

When a student removes 1 blue marble from the bag, the number of blue marbles will be:

= 16 - 1

= 15 marbles.

Therefore, the ratio of red to blue marbles will be:

= 20:15 = 4:3

Therefore, the student's reasoning that there are now 5 red marbles in the bag for every 3 marbles is incorrect.

Learn more about ratio on:

https://brainly.com/question/2328454

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