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# 10. 0.25(4f – 3) = 0.05(10f – 9)

Given that, 0.25(4f – 3) = 0.05(10f – 9)

$$\Rightarrow$$ 0.25 × 4f – 3 × 0.25 = 0.05 × 10f – 9 × 0.05 [Solving the brackets]

$$\Rightarrow$$ 1.00f – 0.75 = 0.5f – 0.45

$$\Rightarrow$$ f – 0.5f = -0.45 + 0.75 [Transposing 0.5 to LHS and 0.75 to RHS]

$$\Rightarrow$$ 0.5f = 0.30

$$\Rightarrow$$ f = 0.6[Dividing both the sides by 0.5]

Hence, f = 0.6 is the required solution