Solve for f: 0.25(4f − 3) = 0.05(10f − 9)
Af = 0.30
Bf = 0.45
Cf = 0.60
Df = 1.20
Answer & Solution
Correct answer: C. f = 0.60
Multiply both sides by 100 to clear decimals: 25(4f − 3) = 5(10f − 9). Expand: 100f − 75 = 50f − 45. Transpose: 100f − 50f = 75 − 45, so 50f = 30 and f = 0.60. A quick decimal check: LHS = 0.25 × (2.4 − 3) = 0.25 × (−0.6) = −0.15. RHS = 0.05 × (6 − 9) = 0.05 × (−3) = −0.15. ✓
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