7th and 8th graders at Marshall Middle are going on a field trip. The 7th graders use 10 small buses and 12 large buses for 504 students. The 8th graders use 5 small buses and 7 large buses for 279 students. 1. How many students can fit on a small bus?
2. How many students can fit on a large bus?

by dividing 325 by 48.

The answer comes out to 6.77

But since the number of buses must be a whole number, we will need 7 buses to carry the 325 students and teachers on a field trip.

so the answer is 7 buses

the line of

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584