Sasha's mom is ordering food trays for Sasha's elementary school graduation party. Banquet Brothers sell a tray with 48 servings of pasta for $60. Cookin' Catering sells a tray with 30 servings of pasta for $72. Which company has the better deal?

Banquet Brothers has better deal.

Step-by-step explanation:

Given: Banquet Brothers sell a tray with 48 servings of pasta for $60.

Cost per serving =

Cookin' Catering sells a tray with 30 servings of pasta for $72.

Cost per serving =

Since, Cost per serving in Banquet Brothers < Cost per serving in Cookin' Catering

So, Banquet Brothers has better deal.

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