Bayside insurance offers two health plans. Under Plan A Giselle would pay the first $80 of her medical bills, plus 30% of the rest. Under Plan B Giselle would pay the first $140 but only 25% of the rest. For what amount of medical bills with plan B save Giselle money. Assume she has over $140 in bills. Giselle would save with plan B if she had more then $______in bills?

Bayside insurance offers two health plans. Under Plan A Giselle would pay the first $80 of her medical bills, plus 30% of the rest. Under Plan B Giselle would pay the first $140 but only 25% of the rest. For what amount of medical bills would plan B save Giselle money. Assume she has over $140 in bills. Giselle would save with plan B if she had more than $ 980 in bills?

Plan A $80 +30%
Plan B $140 +25%

80+.30(x-80)>140+.25(x-140)
80+.30x - 80*.30>140+.25x – 140*.25
80+.30x – 24>140 +.25x – 35
56+.30x>105+.25x
56 + .05x >105
.05x>49
x>$980

To determine the amount of medical bills where Plan B would save Giselle money, we need to find the point of intersection where the cost of both plans is the same. Let's denote the total cost of medical bills as "x".

Under Plan A, Giselle pays the first $80 and 30% of the remaining amount. So the cost for Plan A would be:
$80 + 0.3(x - $80) = $80 + 0.3x - $24 = $56 + 0.3x

Under Plan B, Giselle pays the first $140 and 25% of the remaining amount. So the cost for Plan B would be:
$140 + 0.25(x - $140) = $140 + 0.25x - $35 = $105 + 0.25x

To find the point of intersection, we set the cost for Plan A equal to the cost for Plan B:
$56 + 0.3x = $105 + 0.25x

Now, let's solve for x to find the amount of medical bills where Giselle would save money with Plan B.

$56 + 0.3x = $105 + 0.25x
0.3x - 0.25x = $105 - $56
0.05x = $49
x = $49 / 0.05
x = $980

Therefore, Giselle would save money with Plan B if she had more than $980 in medical bills.