Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
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📊 Ratio Calculation 📊
Let’s translate the given information into an equation:
(5% of A) + (4% of B) = (2/3) × [(6% of A) + (8% of B)]
Convert percentages to decimals:
(0.05A) + (0.04B) = (2/3) × [(0.06A) + (0.08B)]
Simplify the equation:
0.05A + 0.04B = (2/3) × (0.06A + 0.08B)
Multiply both sides by 3 to eliminate the fraction:
0.15A + 0.12B = 0.12A + 0.16B
Subtract 0.12A from both sides:
0.03A + 0.12B = 0.16B
Subtract 0.12B from both sides:
0.03A = 0.04B
Divide both sides by 0.03:
A = (0.04/0.03)B
A = (4/3)B
A : B = 4 : 3
🎉 The ratio of A : B is 4 : 3. 📊
papay dey Answered question
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