Question

0,1a = 0,05(30 - a)

Explanation:

planation:

Step1: Expand the right side

We use the distributive property \(c(a - b)=ca - cb\) here. So \(0.05(30 - a)=0.05\times30-0.05a = 1.5 - 0.05a\). The equation becomes \(0.1a=1.5 - 0.05a\).

Step2: Add \(0.05a\) to both sides

To get all the \(a\) terms on one side, we add \(0.05a\) to both sides of the equation. \(0.1a + 0.05a=1.5- 0.05a+ 0.05a\), which simplifies to \(0.15a = 1.5\).

Step3: Solve for \(a\)

Divide both sides of the equation by \(0.15\). \(a=\frac{1.5}{0.15}\). Calculating the right side, \(\frac{1.5}{0.15} = 10\).

Answer:

\(a = 10\)