exam Maths Puzzle Numerical Ability

Triangle PQR is similar to triangle STU. PQ= 12cm and ST = 9cm. The area of Triangle STU is 72cm2. Find the area of Triangle PQR.

Question submitted by: Sumeet M

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Hello, please explain to me how I should set up a system of equations to solve this problem. How many liters of a 30% acid solution must be added to a 10% acid solution to obtain 32 liters of a 15% acid solution? Simplify. Express your answer in simplified radical form

sqrt5x/sqrt3