SOLUTION: Jay's favorite book is 182 pages less than three times Mitchel's favorite book. If both books have the same number of pages, how many pages are in Jay's favorite book?

Click here to see ALL problems on Word Problems With Coins

Question 221578: Jay's favorite book is 182 pages less than three times Mitchel's favorite book. If both books have the same number of pages, how many pages are in Jay's favorite book?
Found 2 solutions by checkley77, drj:
Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website!
x=3x-182
x-3x=-182
-2x=-182
x=-182/-2
x=91 ans.
91=3*91-182
91=273-182
91=91

Answer by drj(1380) (Show Source):
You can put this solution on YOUR website!
Jay's favorite book is 182 pages less than three times Mitchel's favorite book. If both books have the same number of pages, how many pages are in Jay's favorite book?

Step 1. Let x be the number of pages in Mitchel's book.

Step 2. Let 3x be three times the number of pages in Mitchel's book

Step 3. Let 3x-182 be the number of pages in Jay's book since it's 182 pages less than three times Mitchel's favorite book

Step 4. Then, x=3x-182 since both books have the same number of pages

Step 5. Solving the equation in Step 4 yields the following steps:

Add 182-x to both sides of the equation

Divide 2 to both sides of the equation

The number of pages in Jay's book is 3x-182=3*91-182=91

Step 6. The number of pages in Jay's book is 91 pages.

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