Question

Solve$0.25n+0.05\left(n+5\right)=2.95$

Short answer

The answer is$n=9$

Step-by-step solution

Step 1. Given information

The equation is $0.25n+0.05\left(n+5\right)=2.95$

Find value of n and check it.

Step 2. Calculation

Simplify the equation$0.25n+0.05\left(n+5\right)=2.95$

role="math" localid="1644324162830" $0.25n+0.05n+0.25=2.95$

Combine like terms,

$0.3n=2.7$

Multiply by 10 on both sides

$$\begin{gathered} 3n=27 \\ n=9 \end{gathered}$$

Step 3. Check 

Substitute $n=9$in role="math" localid="1644324379084" $0.25n+0.05\left(n+5\right)=2.95$

$$\begin{gathered} 0.25\left(9\right)+0.05\left(\left(9\right)+5\right)=2.95 \\ 2.25+0.05\left(14\right)=2.95 \\ 2.25+0.7=2.95 \\ 2.95=2.95 \end{gathered}$$