If 40% of one number equals two-thirds of another, what is the ratio of the first number to the second?

Problem restatementRelate two numbers via a percentage equality and express their ratio.

Given data

• 0.4A = (2/3)B

Concept/ApproachSolve for A/B by dividing both sides by 0.4B.

Step-by-step calculationA / B = [(2/3)] / 0.4 = (2/3) × (1/0.4) = (2/3) × (5/2) = 5/3

Common pitfallsTreating percentages additively or misplacing the decimal (0.4 vs 4%).

Final Answer5:3