Question

1000 - (x - \(\frac{1}{2}\) ) : 5 = 5 : \(4\frac{2}{3}\)

Answer 1

\(1000-\left(x-\frac{1}{2}\right):5=5:4\frac{2}{3}\)

\(1000-5:\frac{14}{3}=\left(x-\frac{1}{2}\right):5\)

\(\frac{13985}{14}=\left(x-\frac{1}{2}\right):5\)

\(x-\frac{1}{2}=\frac{69925}{14}\)

\(x=\frac{34966}{7}\)

Answer 2

\(1000-\left(x-\frac{1}{2}\right):5=5:4\frac{2}{3}\)

\(1000-\left(x-\frac{1}{2}\right):5=\frac{15}{14}\)

\(\left(x-\frac{1}{2}\right):5=1000-\frac{15}{14}\)

\(\left(x-\frac{1}{2}\right):5=\frac{13985}{14}\)

\(\left(x-\frac{1}{2}\right)=\frac{13985}{14}\cdot5\)

\(x-\frac{1}{2}=\frac{69925}{14}\)

\(x=\frac{69925}{14}+\frac{1}{2}\)

\(x=\frac{34966}{7}\)