Answer:
We know that there are 67 students performing in the middle school's production of "Beauty and the Beastly." and 49 of them are 7th and 8th graders.
We can write a proportion to find the percent of 6th grade students in the play:
6th grade students / Total students = s / 100
We know that 49 of the students are 7th and 8th graders, so the number of 6th grade students is 67 - 49 = 18.
Now we can substitute the values in the proportion and solve for s:
18 / 67 = s / 100
To find s, we can cross-multiply and divide:
18 * 100 = 67 * s
1800 = 67 * s
s = 1800 / 67
s = 26.87
Rounding to the nearest tenth of a percent: 26.9 %
So, the percent of 6th grade students that are in the play is 26.9%.