Chapter 8: 8.147 - Try It (page 987)

Solve: $\frac{v + 30}{8} = \frac{v + 66}{12} .$

Short Answer

Expert verified

The value of v is 42.

Step by step solution

Step 1. Given Information

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

$\frac{v + 30}{8} = \frac{v + 66}{12} .$

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:

$\frac{v + 30}{8} = \frac{v + 66}{12}, 24 \times (\frac{v + 30}{8}) = 24 \times (\frac{v + 66}{12}), 3 \times (v + 30) = 2 \times (v + 66) . 3 v + 90 = 2 v + 132, v = 132 - 90 = 42 .$

So, $v = 42 i s o u r f i n a l r e s u l t .$

Step 3. Checking the result

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

$P u t v = 42 i n : \frac{v + 30}{8} = \frac{v + 66}{12}, \frac{42 + 30}{8} = \frac{42 + 66}{12}, \frac{72}{8} = \frac{108}{12}, 9 = 9 . H e n c e, o u r r e s u l t i s c o r r e c t .$

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Solve: $\frac{v + 30}{8} = \frac{v + 66}{12} .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving for x

Step 3. Checking the result

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Solve:v+308=v+6612.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving for x

Step 3. Checking the result

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Theoretical and Mathematical Physics

Probability and Statistics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Solve: $\frac{v + 30}{8} = \frac{v + 66}{12} .$