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Chapter 8: 8.147 - Try It (page 987)

Solve:v+308=v+6612.

Short Answer

Expert verified

The value of v is 42.

Step by step solution

01

Step 1. Given Information

We are given with two ratios equal to each other and we need to solve it for x:

v+308=v+6612.

02

Step 2. Solving for x

Firstly find LCM of 8 and 12 which is 24

Now, multiply both sides of the equation with this LCM and solving for x:

v+308=v+6612,24脳v+308=24脳v+6612,3脳(v+30)=2脳(v+66).3v+90=2v+132,v=132-90=42.

So,v=42isourfinalresult.

03

Step 3. Checking the result

We get v=42as our result and now we will check it from the original equation:

Putv=42in:v+308=v+6612,42+308=42+6612,728=10812,9=9.Hence,ourresultiscorrect.

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