Keith won a cash prize in an art competition. He gave his mother 2/5 of the money he won. Of the remainder, 1/4was given to his sister and 2/3 was given to his brother. He has $15 left. How much was Keith's cash prize?

2/5x+1/4(x-2/5x)+2/3(x-2/5x)+15=x

Simplify it then u will get correct answer.

Step-by-step explanation:

Just believe

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