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Jika 
(2)/(3)A=(5)/(6)B dan 
A=xB. Nilai dari 
x adalah
(A) 
(5)/(4)
(D) 
(5)/(12)
(B) 
(3)/(4)
(E) 
(1)/(3)
(C) 
(1)/(2)

Jika 23A=56B \frac{2}{3} A=\frac{5}{6} B dan A=xB A=x B . Nilai dari x x adalah\newline(A) 54 \frac{5}{4} \newline(D) 512 \frac{5}{12} \newline(B) 34 \frac{3}{4} \newline(E) 13 \frac{1}{3} \newline(C) 12 \frac{1}{2}

Full solution

Q. Jika 23A=56B \frac{2}{3} A=\frac{5}{6} B dan A=xB A=x B . Nilai dari x x adalah\newline(A) 54 \frac{5}{4} \newline(D) 512 \frac{5}{12} \newline(B) 34 \frac{3}{4} \newline(E) 13 \frac{1}{3} \newline(C) 12 \frac{1}{2}
  1. Cross Multiply: Cross multiply to solve for xx.23A=56B\frac{2}{3}A = \frac{5}{6}B2×6×A=5×3×B2 \times 6 \times A = 5 \times 3 \times B12A=15B12A = 15B
  2. Substitute and Simplify: Since A=xBA = xB, substitute xBxB for AA in the equation.12(xB)=15B12(xB) = 15B
  3. Divide and Solve: Divide both sides by BB to solve for xx.12x=1512x = 15x=1512x = \frac{15}{12}
  4. Final Simplification: Simplify the fraction to find the value of xx.x=1512x = \frac{15}{12}x=54x = \frac{5}{4}

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