SOLUTION: In 2006 the number of Americans who were members of a health club was 42.7 million. This was an increase of 106% from the number of clubs in 1990. How many Americans were health

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Question 230291: In 2006 the number of Americans who were members of a health club was 42.7 million. This was an increase of 106% from the number of clubs in 1990. How many Americans were health club members in 1990?
Answer by drj(1380) About Me  (Show Source):
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In 2006 the number of Americans who were members of a health club was 42.7 million. This was an increase of 106% from the number of clubs in 1990. How many Americans were health club members in 1990?

Step 1. 106% means 1.06 in decimal form.

Step 2. Let x be the number of Americans who were health club numbers in 1990

Step 3. Let 1.06x be the amount of increase from 1990.

Step 4. Then x+1.06x=42.7 million be the current amount of 42.7.

Step 5. Solving x+1.06x=42.7 yields the following steps

2.06x=42.7

Divide by 2.06 to both sides of the equation

2.06x%2F2.06=42.7%2F2.06

x=20.73

Step 6. ANSWER: The number of club members in 1990 is 20.73 million.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J