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Chapter 8: 8.143 - Try It (page 986)

Solve the proportion:91b=75.

Short Answer

Expert verified

The value of b is 65.

Step by step solution

01

Step 1. Given Information

We are given with a proportion having only one variable b and we need to solve the proportion for b:

91b=75.

02

Step 2. Calculating the value of b

In order to solve the proportion we need to multiply both sides of the equation with the LCD of denominators i.e., LCD of b and 5 is 5b. So,

91b=75,5b脳91b=5b脳75,5脳91=b脳7,b=91脳57=65.So,thevalueofbis65.

03

Step 3. Checking the result 

We get the result as 65 now lets check it by putting it in the equation:

91b=75,9165=75,75=75.Hence,ourresultiscorrect.

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