SOLUTION: Please help me with an equation for this problem A moving company weighs 20 boxes packed that contains books or clothes and says the total weight is 404 pounds. You know that a b

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me with an equation for this problem A moving company weighs 20 boxes packed that contains books or clothes and says the total weight is 404 pounds. You know that a b      Log On


   

Question 781329: Please help me with an equation for this problem
A moving company weighs 20 boxes packed that contains books or clothes and says the total weight is 404 pounds. You know that a box of books weighs 40 pounds and a box of clothes weighs 7 pounds. Write and solve an equation to find how many boxes of books and how many boxes of clothes.
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of boxes with clothes be x
Then the number of boxes with books is 20 - x
Each cloth box weighs 40 lb and book box weighs 7 lb
Total weight of cloth boxes = 40*x
Total weight of book boxes = (20 - x)*7 = 140 - 7*x
Given that the total weight is 404 lb. We have the equation
40%2Ax+%2B+140+-+7%2Ax+=+404
33%2Ax+=+404+-+140+=+264
x+=+264%2F33+=+8
So the number of boxes with clothes = highlight%288%29
Number of boxes with books = 40 - 8 = highlight%2832%29
:)