DofotheroU

2021-08-03

Solve Equations with Decimal Coefficients In the following exercises, solve the equation by clearing the decimals.
$0.10d+0.25\left(d+5\right)=4.05$

Step 1
The given equation is $0.10d+0.25\left(d+5\right)=4.05$
The equation $0.10d+0.25\left(d+5\right)=4.05$ can be solved as follows.
Wemultiply the decimal number by 100 to shift the decimal towards right hand side by two place.
Step 2
For clearing the decimals we multiply each term by 100.
$⇒100×0.10d+100×0.25\left(d+5\right)=100×4.05$
$⇒10d+25\left(d+5\right)=405$
$⇒10d+25d+125=405$
Subtract 125 on sides.
$⇒10d+25d+125-125=405-125$
$⇒35d=280$
Divide both sides by 35.
$⇒\frac{35d}{35}=\frac{280}{35}$

Therefore, $d=8$ is the solution of $0.10d+0.25\left(d+5\right)=4.05.$

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