Two different meal combinations at a chicken restaurant have the same number of total calories. The first meal has 8 chicken nuggets and a large order of fries, while the
second meal has 12 nuggets and a small order of fries. The large order of fries
contains 288.5 calories and the small order of fries has 193.5 calories. Which equation
and solution can be used to determine n, the number of calories in each chicken
nugget?

i dont know

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

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