MathBrush

Tarpaulins — P, Q and R overlap on the floor

Three tarpaulins P, Q and R are spread out on a warehouse floor and overlap one another. The combined area of Q and R is 3/4 of the area of P. Where P overlaps Q, the overlapping part is 1/4 of Q's area. Where P overlaps R, the overlapping part is 1/2 of R's area. Altogether, the shaded (overlapping) part of P makes up 1/3 of P's area. Find P : Q : R.

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