For a saturday matinee, adult tickets cost $4.50 and kids under 12 pay only $2.00. if 100 tickets are sold for a total of $350, how many of the tickets were adult tickets and how many were sold to kids under 12?

60 ADULT TICKETS

40 KIDS UNDER 12 TICKETS

Step-by-step explanation:

By playing around with numbers, you can figure out what makes this situation true. By multiplying 4.50 by 60, you get 270. Then, by multiplying 2 by 40, you get 80. Finally, add 270 and 80, which results in 350, which satisfies the problem.

Hope this helps!

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