SOLUTION: what is the answer to this equation? alan and joe work at two different cell phone stores . alan earns $200 a week plus $40 for each phone he sells .joel is not paid

Question 1112105: what is the answer to this equation?

alan and joe work at two different cell phone stores
. alan earns $200 a week plus $40 for each phone he sells
.joel is not paid a salary but earns $55 for each cell phone he sells
.alan and joe each cell the same amount of phones in one week
what is the fewest number of phones joel needs to sell in one week to earn more than alan?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = weekly earnings
Let = number of cell phones sold
-----------------------------------------
Equation for Alan:
(1)
Equation for Joel:
(2)
------------------------------
These are straight line equations that meet
at a single point. Notice that must be
a whole number, since they can't sell part of a cell phone
---------------------------------------------------
Make the earnings, equal to eachother

The nearest whole number is . Joel has to sell
one more, or phone/wk in order to make
more money than Alan
-------------------------------------------------
check the answer:

(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
So, Joel makes $10/wk more than Alan
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