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Chapter 2: Q. 72 (page 113)

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

0.10d+0.25(d+7)=5.25

Short Answer

Expert verified

The value of disd=10

Step by step solution

01

Step 1. Given Information 

In the given question we have to solve equation with decimal coefficients.
0.10d+0.25(d+7)=5.25

02

Step 2. The given equation is 0.10d+0.25(d+7)=5.25

Now we solve the given equation for the value of d

03

Looking at the decimals and thinking of the equivalent fractions:

0.10=101000.25=251005.25=525100

The LCD is 100.

04

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

Distribute first.

0.10d+0.25脳d+0.25脳7=5.250.10d+0.25d+1.75=5.25

Combine like terms.

0.35d+1.75=5.25

05

Step 5. To clear decimals, multiply by 100.

100(0.35d+1.75)=5.25脳100

Distribute.

100脳0.35d+100脳1.75=5.25脳10035d+175=525

06

Step 6. Subtract 175 on both side

35d+175-175=525-17535d=3503535d=35035d=10

07

Step 7. Now checking the value. 

putting d=10in the given equation

role="math" localid="1645511634084" 0.10脳10+0.25(10+7)=5.251+0.25脳17=5.251+4.25=5.255.25=5.25

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