# Algebra

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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

• Typo? -

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.

• Algebra -

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

• Algebra -

• Algebra -

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(x-200) = 230+0.2(x-230)
multiply out to get
130+0.35x = 184 + 0.2x
0.15x = 54
x=360