SOLUTION: Bayside insurance offers two health plans. Under plan A,Giselle would have to pay the first $110 dollars of her medical bills, plus 25% of the rest. Under plan B, Giselle would hav

Algebra ->  Linear-equations -> SOLUTION: Bayside insurance offers two health plans. Under plan A,Giselle would have to pay the first $110 dollars of her medical bills, plus 25% of the rest. Under plan B, Giselle would hav      Log On


   



Question 183080: Bayside insurance offers two health plans. Under plan A,Giselle would have to pay the first $110 dollars of her medical bills, plus 25% of the rest. Under plan B, Giselle would have to pay the first $190, but only 20% of the rest. For what amount medical bills will plan B save Giselle Money? Assume she has over $190 in bills.
Giselle would save with plan B if she had more than $____ in bills.
(round to the nearest whole number)

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, write the equations for each situation:
A+=+110%2B0.25x Where x = the excess cost cost medical bills.
B+=+190%2B0.2x Where x = the excess cost of medical bills.
You need to find the value of x for which B is less than A, so...
B+%3C+A or...
190%2B0.2x+%3C+110%2B0.25x Solve for x by subtracting 110 from both sides.
80%2B0.2x+%3C+0.25x Now Subtract 0.2x from both sides.
80+%3C+0.05x Finally, divide both sides by 0.05
1600+%3C+x or x+%3E+1600
Giselle would save with plan B if she had more than $1600.00 + $190.00 = $1790.00 in medical bills.