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?

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

RELATED QUESTIONS
Jay's favorite book is 182 pages less than 3 times Mitchel's favorite book. If both books (answered by EMStelley)
Jay's favoritebook is 182 pages less than three times Mitchel's favorite book. If both... (answered by ankor@dixie-net.com)
Jay's favorite book is 182 pages less than three times Mitchel's favorite book. If both... (answered by geetha_rama)
Sophie's favorite number is a two-digit number. If she reverses the digits, the result... (answered by math_tutor2020,ikleyn)
I'm stumped with this question - can you please help me? Whenever twins Sandra and... (answered by ankor@dixie-net.com)
A hard cover math book is 289 pages longer than a paperback math book. If the total... (answered by Cromlix)
Sophie's favorite (positive) number is a two-digit number. If she reverses the digits,... (answered by greenestamps)
Jenny's favorite positive integer has two digits. If she reverses the digits, the new... (answered by MathTherapy)
Cecilia and Tavan are reading books. Cecilia has read 3/5 of her book. Tavan has read... (answered by Fombitz)