Bayside Insurance offers two health plans. Under plan A Gisielle would pay the first $110 of her medical bills plus 30% of the rest. Under plan B, Gisielle would pay the first $250, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $250 in bills. (I get to where I almost have it but it is still wrong.)

Question

Bayside Insurance offers two health plans. Under plan A Gisielle would pay the first $110 of her medical bills plus 30% of the rest. Under plan B, Gisielle would pay the first $250, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $250 in bills.  (I get to where I almost have it but it is still wrong.)

Reiny · Answer

let the medical bills be x

Plan A : Cost = .3x + 110
Plan B : Cost = .2x + 250

.3x + 110 = .2x + 250
.1x = 140
x = 1400

They are equal at $1400, can you figure out which is best over $1400 ?
Hint: try both equations using 1500