Algebra
posted by Norma on .
Bayside Insurance offers two health plans. Under Plan A, Sam would have to pay the first $200 of his medical bills, plus 35% of the rest. Under Plan B, Sam would pay the first $230, but only 35% of the rest. For what amount of medical bills will Plan B save Sam money? Assume he was over $230 in bills. Sam would save with Plan B if he had more than $_____ in bills

Both plans pay 35% of the rest, so plan B will never catch up with plan A.
Please check if the question was posted correctly. 
Bayside Insurance offers two health plans. Under Plan A, Sam would have to pay the first $200 of his medical bills, plus 35% of the rest. Under Plan B, Sam would pay the first $230, but only 20% of the rest. For what amount of medical bills will Plan B save Sam money? Assume he was over $230 in bills. Sam would save with Plan B if he had more than $_____ in bills

thank you for showing me my mistake can you please help me

Let x = amount of medical bill
We look for the value of x such that the benefits from each plan is equal by equating the benefits and solving for x.
200+0.35(x200) = 230+0.2(x230)
multiply out to get
130+0.35x = 184 + 0.2x
0.15x = 54
x=360