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Chapter 2: Q. 70 (page 113)

In the following exercises, solve each equation with decimal coefficients.

0.05n+0.10(n+7)=3.55

Short Answer

Expert verified

The value of nis19

Step by step solution

01

Step 1. Given Information 

In the given question we have to solve equation with decimal coefficients.
0.05n+0.10(n+7)=3.55

02

Step 2. The given equation is 0.05n+0.10(n+7)=3.55

Now we solve the given equation for the value ofn

03

Looking at the decimals and thinking of the equivalent fractions:

0.05=51000.10=101003.55=355100

The LCD is 100.

04

Step 4. By multiplying by the LCD we will clear the decimals from the equation. 

Distribute first.

0.05n+0.10脳n+0.10脳7=3.550.05n+0.10n+0.70=3.55

Combine like terms.

0.15n+0.70=3.55

05

Step 5. To clear decimals, multiply by 100.

100(0.15n+0.70)=100脳3.55

Distribute.

100脳0.15n+100脳0.70=100脳3.5515n+70=355

06

Step 6. Subtract 70 on both side

15n+70-70=355-7015n=2851515n=28515n=19

07

Step 7. Now checking the value. 

putting n=19in the given equation

0.05脳19+0.10(19+7)=3.550.95+0.10脳26=3.550.95+2.6=3.553.55=3.55

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