(10 points and brainliest for best). last month ben spent $380 on food and $420 on personal items.
what percent of his monthly income did he spend on these items?
(you must set up and solve a proportion,
set up and solve a percent equation, and
write a sentence to explain your answer.)

4000 is his total monthly balance.

420 + 380 = 800

800/4000 = 0.20

0.20 = 20%

He spent 20% of his monthly income on food and personal items.

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

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0