If 50% of (P + 2Q) equals 30% of (2P + 3Q), then express P in terms of Q.

Q.If 50% of (P + 2Q) equals 30% of (2P + 3Q), then express P in terms of Q.

Given: 50% of \((P + 2Q)\) = 30% of \((2P + 3Q)\) So, \[ (P + 2Q) \times \frac{50}{100} = (2P + 3Q) \times \frac{30}{100} \Rightarrow 5(P + 2Q) = 3(2P + 3Q) \Rightarrow 5P + 10Q = 6P + 9Q \Rightarrow 5P - 6P = 9Q - 10Q \Rightarrow -P = -Q \Rightarrow P = Q \]