SOLUTION: A man bought some eggs at x cents each. y of them were broken while the rest were sold at z cents each. If he made a total profit of w cents, find the number of eggs he bought usin

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A man bought some eggs at x cents each. y of them were broken while the rest were sold at z cents each. If he made a total profit of w cents, find the number of eggs he bought usin      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 886416: A man bought some eggs at x cents each. y of them were broken while the rest were sold at z cents each. If he made a total profit of w cents, find the number of eggs he bought using x,y,z, and w.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A man bought some eggs at x cents each.
y of them were broken while the rest were sold at z cents each.
If he made a total profit of w cents,
find the number of eggs he bought using x,y,z, and w.
:
let t = total number of eggs bought
then
tx = original cost of the eggs
and
(t-y) = no. eggs sold
and
z(t-y) = amt he sold them for
:
total profit
z(t-y) - tx = w
Find original no. of eggs
-tx = w - z(t-y)
multiply both sides by -1
tx = z(t-y) - w
tx = tz - yz - w
tx - tz = -yz - w
factor out t
t(x-z) = -yz - w
t = %28%28-w-yz%29%29%2F%28%28x-z%29%29
you can factor out -1 from numerator and denominator and write it
t = %28%28w%2Byz%29%29%2F%28%28z-x%29%29; looks better without all those negatives