two health plans. Under plan A, Amy would have to pay the first $60 of her medical bills, plus 30% of the rest. Plan B would pay the first $140, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $140 in bills.

A= $60 +30x
B= $140 + 20x
then I get confused

PlanAcosts=60+(Bills-60)*.30

PlanBcosts=140+(Bills-140)*.2
set them equal, and solve for Bills.

Thanks Bobpursley for the push in the right direction

To determine the amount of medical bills where Plan B will save Giselle money compared to Plan A, we need to set up an equation and solve for the value of x.

Let's assume the total amount of medical bills is denoted by "b".

With Plan A, the amount Giselle would pay is given by the equation:
A = $60 + 30% of the rest = $60 + 0.3(b - $60) = $60 + 0.3b - $18 = $42 + 0.3b

Similarly, with Plan B, the amount Giselle would pay is given by the equation:
B = $140 + 20% of the rest = $140 + 0.2(b - $140) = $140 + 0.2b - $28 = $112 + 0.2b

To find the amount where Plan B will save Giselle money, we need to find the point where Plan B payment is less than Plan A payment. In other words, we will set up the following inequality and solve for x:

B < A

$112 + 0.2b < $42 + 0.3b

Now, we can solve this inequality to find the value of b (the amount of medical bills) where Plan B will save Giselle money compared to Plan A.

112 < 42 + 0.3b - 0.2b
112 - 42 < 0.3b - 0.2b
70 < 0.1b

To isolate b, we divide both sides of the inequality by 0.1:

70/0.1 < b
700 < b

Therefore, if the amount of medical bills exceeds $700, Plan B will save Giselle money compared to Plan A.