Solve equations with decimal coefficients by clearing the decimals 0.05n+0.10(n+7)=3.55

Bergen

Bergen

Answered question

2021-08-03

Solve Equations with Decimal Coefficients In the following exercises, solve the equation by clearing the decimals.
0.05n+0.10(n+7)=3.55

Answer & Explanation

Aubree Mcintyre

Aubree Mcintyre

Skilled2021-08-04Added 73 answers

Step 1
The given equation is 0.05n+0.10(n+7)=3.55
The equation 0.05n+0.10(n+7)=3.55 can be solved as follows.
We multiply 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.
100×0.05n+100×0.10(n+7)=100×3.55
5n+10(n+7)=355
5n+10n+70=355
Subtract 70 on both sides.
5n+10n+7070=355
15n=35570
15n=285
Divide both sides by 15.
15n15=28515
 n=19
Therefore, n=19 is the solution of 0.05n+0.10(n+7)=3.55.

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