Question

Solve$0.1d+0.05\left(d-5\right)=2.15$

Short answer

The answer is$d=16$

Step-by-step solution

Step 1. Given Information

The equation is $0.1d+0.05\left(d-5\right)=2.15$

Find the value of d and check.

Step 2. Calculation

Simplify the equation $0.1d+0.05\left(d-5\right)=2.15$

$0.1d+0.05d-0.25=2.15$

Combine like terms,

$0.15d=2.4$

Multiply by 100

$15d=240$

Isolate d

$d=16$

Step 3. Check

Substitute $d=16$in $0.1d+0.05\left(d-5\right)=2.15$

$$\begin{gathered} 0.1\left(16\right)+0.05\left(16-5\right)=2.15 \\ 1.6+0.05\left(11\right)=2.15 \\ 1.6+0.55=2.15 \\ 2.15=2.15 \end{gathered}$$