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Chapter 2: Q. 69 (page 113)

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

0.05n+0.10(n+8)=2.15

Short Answer

Expert verified

The value of nis9

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+8)=2.15

02

Step 2. The given equation is 0.05n+0.10(n+8)=2.15

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=101002.15=215100

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8=2.150.05n+0.10n+0.80=2.15

Combine like terms.

0.15n+0.80=2.15

05

Step 5. To clear decimals, multiply by 100.

1000.15n+0.80=2.15脳100

Distribute.

100脳0.15n+100脳0.80=2.15脳10015n+80=215

06

Step 6. Subtract 80 on both side

15n+80-80=215-8015n=1351515n=13515n=9

07

Step 7. Now checking the value. 

putting n=9in the given equation

0.05脳9+0.10(9+8)=2.150.45+0.10脳17=2.150.45+1.7=2.152.15=2.15

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