SOLUTION: One-third of a number is 5 less than half of the same number. What is the number? Thanks to any tutor that can help!

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: One-third of a number is 5 less than half of the same number. What is the number? Thanks to any tutor that can help!      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 7715: One-third of a number is 5 less than half of the same number. What is the number?
Thanks to any tutor that can help!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the unknown number, then:
n%2F3+=+n%2F2+-+5 Multiply both sides by 3.
n+=+3n%2F2+-+15 Multiply both sides by 2.
2n+=+3n+-+30 Add 30 to both sides.
2n+%2B+30+=+3n Subtract 2n from both sides.
n = 30
Check:
30%2F3+=+30%2F2+-+5
10+=+15+-+5
10+=+10