Question

Mr. Jones had a set of 100 markers. There are 12 red markers.

There are 9 blue markers.
The rest are black.
What fraction of the set of markers are black?

Answer 1

To determine the fraction of black markers in Mr. Jones's set, subtract the total of non-black markers from the overall total and divide by the number of markers. The fraction is 79/100.

Step-by-step explanation:

To find the fraction of the set of markers that are black, we first need to determine the total number of markers that are not black. We do this by adding the number of red markers and blue markers: 12 red markers + 9 blue markers = 21 markers that are not black. Since Mr. Jones had a total of 100 markers, we subtract the 21 non-black markers from the total to find the number of black markers: 100 markers - 21 non-black markers = 79 black markers.

Now, to express this as a fraction of the entire set, we divide the number of black markers by the total number of markers: 79 black markers ÷ 100 total markers = \(\frac{79}{100}\). Therefore, 79/100 of the set of markers are black.