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

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) (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 =
you can factor out -1 from numerator and denominator and write it
t = ; looks better without all those negatives
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