SOLUTION: between them, terry and shelly have 50 cassettes. if shelly has more than two thirds as many cassettes as terry, at least how many cassettes does shelly have? at most how much does

Algebra ->  Real-numbers -> SOLUTION: between them, terry and shelly have 50 cassettes. if shelly has more than two thirds as many cassettes as terry, at least how many cassettes does shelly have? at most how much does      Log On


   



Question 222567: between them, terry and shelly have 50 cassettes. if shelly has more than two thirds as many cassettes as terry, at least how many cassettes does shelly have? at most how much does terry have
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Between them, Terry and Shelly have 50 cassettes. If Shelly has more than two thirds as many cassettes as Terry, at least how many cassettes does Shelly have? At most how much does Terry have?

Step 1. Let x be the number of cassettes Terry has.

Step 2. Let 2x%2F3 be the number of cassettes Shelly has since she has more than two-thirds as many cassettes as Terry.

Step 3. Then x%2B2x%2F3=5x%2F3=50 be the total of cassettes.

Step 4. Solving for x yields the following steps:

Multiply by 3%2F5 to both sides of the equation to find x

5x%2F3=50

3%2A5x%2F%285%2A3%29=3%2A50%2F5

x=30 and 2x%2F3=20 and both add up to 50 cassettes.

Step 5. ANSWER: Terry has 30 cassettes and Shelley has 20 cassettes.

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