Question

Solve for $x:\frac{x+2}{4+x}=\frac{5}{9}$

• A. $1$
• B. $\frac{1}{2}$
• C. $\frac{3}{8}$
• D. $\frac{2}{5}$

Answer 1

The correct option is B $\frac{1}{2}$

$x=\frac{1}{2}$: Cross-multiply to eliminate the denominators. THen, distribute and solve:

$\frac{x+2}{4+x}=\frac{5}{9}$

$9(x+2)=5(4+x)$

$9x+18=20+5x$

$4x=2$

$x=\frac{1}{2}$