Seth uses a school camera to take pictures for the yearbook and for the school paper. Last month he took 270 pictures for the yearbook and 180 pictures for the school paper with his camera. Write a proportion to determine the percentage of the total number of pictures he took that were for the yearbook.

100 * 270 / (270+180)

1

To determine the proportion of the total number of pictures Seth took that were for the yearbook, we can set up the following ratio:

Number of pictures for the yearbook : Total number of pictures taken

Seth took 270 pictures for the yearbook and 180 pictures for the school paper, so the total number of pictures taken is:

Total number of pictures taken = 270 + 180 = 450

Now, we can write the proportion as:

(Number of pictures for the yearbook) / (Total number of pictures taken) = (Percentage of pictures for the yearbook) / 100

Substituting the values we found:

270 / 450 = (Percentage of pictures for the yearbook) / 100

We can solve this proportion for the percentage of pictures for the yearbook by cross-multiplying:

270 * 100 = 450 * (Percentage of pictures for the yearbook)

27,000 = 450 * (Percentage of pictures for the yearbook)

To isolate the percentage of pictures for the yearbook, we divide both sides of the equation by 450:

(Percentage of pictures for the yearbook) = 27,000 / 450

Simplifying:

(Percentage of pictures for the yearbook) = 60

Therefore, the proportion states that 60% of the total number of pictures Seth took were for the yearbook.