SOLUTION: bayside insurance offers two health plans. under plan a giselle have to pay the first $100 of her medical bills, plus 40% of the rest. under plan b giselle would pay the first $250

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Question 251836: bayside insurance offers two health plans. under plan a giselle have to pay the first $100 of her medical bills, plus 40% of the rest. under plan b giselle would pay the first $250 but only 25% of the rest. for what amount of medical bills will plan b save gisele money? assume she has over $250 dollars in bills.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Plan a:
100+.40(x-100)
100+.40x-40
.40x+60
------------------
Plan b:
250+.25(x-250)
250+.25x-62.50
.25x+187.5
------------------
.25x+187.5<.40x+60
.25x-.40x<60-187.5
-.15x<-127.5
x>-127.5/-.15 [note: the > sign changes to a < sign when dividing by a negative value.
x>$850 any bill greater than $850, plan B will be the best buy.
Proof:
Let the bill be $900
.25*900+187.5<.40*900+60
225+187.5<360+60
412.5<420